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Finding the Fourth Proportional to 502.44, 753.64 and 177.81

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Solution

The fourth proportional to 502.44, 753.64 and 177.81 is: 266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.44 : 753.64 = 177.81 : x
  2. Step 2: Convert to fraction form
    502.44/753.64 = 177.81/x
  3. Step 3: Cross multiply
    502.44x = 753.64 × 177.81
  4. Step 4: Simplify right side
    502.44x = 134,004.73
  5. Step 5: Solve for x
    x = 134,004.73/502.44
  6. Step 6: Final answer
    x = 266.71

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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.