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Finding the Fourth Proportional to 502.08, 752.34 and 193.76

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Solution

The fourth proportional to 502.08, 752.34 and 193.76 is: 290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.08 : 752.34 = 193.76 : x
  2. Step 2: Convert to fraction form
    502.08/752.34 = 193.76/x
  3. Step 3: Cross multiply
    502.08x = 752.34 × 193.76
  4. Step 4: Simplify right side
    502.08x = 145,773.40
  5. Step 5: Solve for x
    x = 145,773.40/502.08
  6. Step 6: Final answer
    x = 290.34

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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.