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Finding the Fourth Proportional to 204.40, 282 and 138.88

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Solution

The fourth proportional to 204.40, 282 and 138.88 is: 191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.40 : 282 = 138.88 : x
  2. Step 2: Convert to fraction form
    204.40/282 = 138.88/x
  3. Step 3: Cross multiply
    204.40x = 282 × 138.88
  4. Step 4: Simplify right side
    204.40x = 39,164.16
  5. Step 5: Solve for x
    x = 39,164.16/204.40
  6. Step 6: Final answer
    x = 191.61

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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.