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Finding the Fourth Proportional to 282.13, 422.17 and 166.63

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Solution

The fourth proportional to 282.13, 422.17 and 166.63 is: 249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.13 : 422.17 = 166.63 : x
  2. Step 2: Convert to fraction form
    282.13/422.17 = 166.63/x
  3. Step 3: Cross multiply
    282.13x = 422.17 × 166.63
  4. Step 4: Simplify right side
    282.13x = 70,346.19
  5. Step 5: Solve for x
    x = 70,346.19/282.13
  6. Step 6: Final answer
    x = 249.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.