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Finding the Fourth Proportional to 302.20, 417.06 and 204.12

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Solution

The fourth proportional to 302.20, 417.06 and 204.12 is: 281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.20 : 417.06 = 204.12 : x
  2. Step 2: Convert to fraction form
    302.20/417.06 = 204.12/x
  3. Step 3: Cross multiply
    302.20x = 417.06 × 204.12
  4. Step 4: Simplify right side
    302.20x = 85,130.29
  5. Step 5: Solve for x
    x = 85,130.29/302.20
  6. Step 6: Final answer
    x = 281.70

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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.