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Finding the Fourth Proportional to 502.93, 753.89 and 178.09

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Solution

The fourth proportional to 502.93, 753.89 and 178.09 is: 266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.93 : 753.89 = 178.09 : x
  2. Step 2: Convert to fraction form
    502.93/753.89 = 178.09/x
  3. Step 3: Cross multiply
    502.93x = 753.89 × 178.09
  4. Step 4: Simplify right side
    502.93x = 134,260.27
  5. Step 5: Solve for x
    x = 134,260.27/502.93
  6. Step 6: Final answer
    x = 266.96

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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.