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Finding the Fourth Proportional to 508.50, 762.75 and 166.50

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Solution

The fourth proportional to 508.50, 762.75 and 166.50 is: 249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.50 : 762.75 = 166.50 : x
  2. Step 2: Convert to fraction form
    508.50/762.75 = 166.50/x
  3. Step 3: Cross multiply
    508.50x = 762.75 × 166.50
  4. Step 4: Simplify right side
    508.50x = 126,997.88
  5. Step 5: Solve for x
    x = 126,997.88/508.50
  6. Step 6: Final answer
    x = 249.75

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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.