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Finding the Fourth Proportional to 302.12, 417.08 and 204

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Solution

The fourth proportional to 302.12, 417.08 and 204 is: 281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.12 : 417.08 = 204 : x
  2. Step 2: Convert to fraction form
    302.12/417.08 = 204/x
  3. Step 3: Cross multiply
    302.12x = 417.08 × 204
  4. Step 4: Simplify right side
    302.12x = 85,084.32
  5. Step 5: Solve for x
    x = 85,084.32/302.12
  6. Step 6: Final answer
    x = 281.62

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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.