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Finding the Fourth Proportional to 508.48, 762.88 and 166.48

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Solution

The fourth proportional to 508.48, 762.88 and 166.48 is: 249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.48 : 762.88 = 166.48 : x
  2. Step 2: Convert to fraction form
    508.48/762.88 = 166.48/x
  3. Step 3: Cross multiply
    508.48x = 762.88 × 166.48
  4. Step 4: Simplify right side
    508.48x = 127,004.26
  5. Step 5: Solve for x
    x = 127,004.26/508.48
  6. Step 6: Final answer
    x = 249.77

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.