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Finding the Fourth Proportional to 315.20, 435.03 and 204.97

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Solution

The fourth proportional to 315.20, 435.03 and 204.97 is: 282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.20 : 435.03 = 204.97 : x
  2. Step 2: Convert to fraction form
    315.20/435.03 = 204.97/x
  3. Step 3: Cross multiply
    315.20x = 435.03 × 204.97
  4. Step 4: Simplify right side
    315.20x = 89,168.10
  5. Step 5: Solve for x
    x = 89,168.10/315.20
  6. Step 6: Final answer
    x = 282.89

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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.