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Finding the Fourth Proportional to 282.40, 422.52 and 186.40

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Solution

The fourth proportional to 282.40, 422.52 and 186.40 is: 278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.40 : 422.52 = 186.40 : x
  2. Step 2: Convert to fraction form
    282.40/422.52 = 186.40/x
  3. Step 3: Cross multiply
    282.40x = 422.52 × 186.40
  4. Step 4: Simplify right side
    282.40x = 78,757.73
  5. Step 5: Solve for x
    x = 78,757.73/282.40
  6. Step 6: Final answer
    x = 278.89

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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.