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Finding the Fourth Proportional to 282.10, 422.57 and 166.22

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Solution

The fourth proportional to 282.10, 422.57 and 166.22 is: 248.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.10 : 422.57 = 166.22 : x
  2. Step 2: Convert to fraction form
    282.10/422.57 = 166.22/x
  3. Step 3: Cross multiply
    282.10x = 422.57 × 166.22
  4. Step 4: Simplify right side
    282.10x = 70,239.59
  5. Step 5: Solve for x
    x = 70,239.59/282.10
  6. Step 6: Final answer
    x = 248.99

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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.