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Finding the Fourth Proportional to 502.03, 752.69 and 193.86

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Solution

The fourth proportional to 502.03, 752.69 and 193.86 is: 290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.03 : 752.69 = 193.86 : x
  2. Step 2: Convert to fraction form
    502.03/752.69 = 193.86/x
  3. Step 3: Cross multiply
    502.03x = 752.69 × 193.86
  4. Step 4: Simplify right side
    502.03x = 145,916.97
  5. Step 5: Solve for x
    x = 145,916.97/502.03
  6. Step 6: Final answer
    x = 290.65

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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.