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Finding the Fourth Proportional to 508.49, 762.68 and 183.86

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Solution

The fourth proportional to 508.49, 762.68 and 183.86 is: 275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.49 : 762.68 = 183.86 : x
  2. Step 2: Convert to fraction form
    508.49/762.68 = 183.86/x
  3. Step 3: Cross multiply
    508.49x = 762.68 × 183.86
  4. Step 4: Simplify right side
    508.49x = 140,221.61
  5. Step 5: Solve for x
    x = 140,221.61/508.49
  6. Step 6: Final answer
    x = 275.76

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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.