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Finding the Fourth Proportional to 302.97, 418.19 and 204.71

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Solution

The fourth proportional to 302.97, 418.19 and 204.71 is: 282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.97 : 418.19 = 204.71 : x
  2. Step 2: Convert to fraction form
    302.97/418.19 = 204.71/x
  3. Step 3: Cross multiply
    302.97x = 418.19 × 204.71
  4. Step 4: Simplify right side
    302.97x = 85,607.70
  5. Step 5: Solve for x
    x = 85,607.70/302.97
  6. Step 6: Final answer
    x = 282.56

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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.