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Finding the Fourth Proportional to 204.52, 282.23 and 117.24

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Solution

The fourth proportional to 204.52, 282.23 and 117.24 is: 161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.52 : 282.23 = 117.24 : x
  2. Step 2: Convert to fraction form
    204.52/282.23 = 117.24/x
  3. Step 3: Cross multiply
    204.52x = 282.23 × 117.24
  4. Step 4: Simplify right side
    204.52x = 33,088.94
  5. Step 5: Solve for x
    x = 33,088.94/204.52
  6. Step 6: Final answer
    x = 161.79

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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.