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Finding the Fourth Proportional to 204.47, 282.17 and 117.14

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Solution

The fourth proportional to 204.47, 282.17 and 117.14 is: 161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.47 : 282.17 = 117.14 : x
  2. Step 2: Convert to fraction form
    204.47/282.17 = 117.14/x
  3. Step 3: Cross multiply
    204.47x = 282.17 × 117.14
  4. Step 4: Simplify right side
    204.47x = 33,053.39
  5. Step 5: Solve for x
    x = 33,053.39/204.47
  6. Step 6: Final answer
    x = 161.65

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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.