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Finding the Fourth Proportional to 204.68, 282.56 and 138.38

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Solution

The fourth proportional to 204.68, 282.56 and 138.38 is: 191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.68 : 282.56 = 138.38 : x
  2. Step 2: Convert to fraction form
    204.68/282.56 = 138.38/x
  3. Step 3: Cross multiply
    204.68x = 282.56 × 138.38
  4. Step 4: Simplify right side
    204.68x = 39,098.55
  5. Step 5: Solve for x
    x = 39,098.55/204.68
  6. Step 6: Final answer
    x = 191.02

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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.