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Finding the Fourth Proportional to 282.67, 422.91 and 167.22

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Solution

The fourth proportional to 282.67, 422.91 and 167.22 is: 250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.67 : 422.91 = 167.22 : x
  2. Step 2: Convert to fraction form
    282.67/422.91 = 167.22/x
  3. Step 3: Cross multiply
    282.67x = 422.91 × 167.22
  4. Step 4: Simplify right side
    282.67x = 70,719.01
  5. Step 5: Solve for x
    x = 70,719.01/282.67
  6. Step 6: Final answer
    x = 250.18

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