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Finding the Fourth Proportional to 204.29, 282.01 and 138.88

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Solution

The fourth proportional to 204.29, 282.01 and 138.88 is: 191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.29 : 282.01 = 138.88 : x
  2. Step 2: Convert to fraction form
    204.29/282.01 = 138.88/x
  3. Step 3: Cross multiply
    204.29x = 282.01 × 138.88
  4. Step 4: Simplify right side
    204.29x = 39,165.55
  5. Step 5: Solve for x
    x = 39,165.55/204.29
  6. Step 6: Final answer
    x = 191.72

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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.