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Finding the Fourth Proportional to 302.61, 417.47 and 204.21

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Solution

The fourth proportional to 302.61, 417.47 and 204.21 is: 281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.61 : 417.47 = 204.21 : x
  2. Step 2: Convert to fraction form
    302.61/417.47 = 204.21/x
  3. Step 3: Cross multiply
    302.61x = 417.47 × 204.21
  4. Step 4: Simplify right side
    302.61x = 85,251.55
  5. Step 5: Solve for x
    x = 85,251.55/302.61
  6. Step 6: Final answer
    x = 281.72

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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.