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Finding the Fourth Proportional to 296.43, 409.32 and 203.14

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Solution

The fourth proportional to 296.43, 409.32 and 203.14 is: 280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.43 : 409.32 = 203.14 : x
  2. Step 2: Convert to fraction form
    296.43/409.32 = 203.14/x
  3. Step 3: Cross multiply
    296.43x = 409.32 × 203.14
  4. Step 4: Simplify right side
    296.43x = 83,149.78
  5. Step 5: Solve for x
    x = 83,149.78/296.43
  6. Step 6: Final answer
    x = 280.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.