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Finding the Fourth Proportional to 204.45, 282.14 and 117.12

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Solution

The fourth proportional to 204.45, 282.14 and 117.12 is: 161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.45 : 282.14 = 117.12 : x
  2. Step 2: Convert to fraction form
    204.45/282.14 = 117.12/x
  3. Step 3: Cross multiply
    204.45x = 282.14 × 117.12
  4. Step 4: Simplify right side
    204.45x = 33,044.24
  5. Step 5: Solve for x
    x = 33,044.24/204.45
  6. Step 6: Final answer
    x = 161.63

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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.