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Finding the Fourth Proportional to 282.08, 422.78 and 160.09

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Solution

The fourth proportional to 282.08, 422.78 and 160.09 is: 239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.08 : 422.78 = 160.09 : x
  2. Step 2: Convert to fraction form
    282.08/422.78 = 160.09/x
  3. Step 3: Cross multiply
    282.08x = 422.78 × 160.09
  4. Step 4: Simplify right side
    282.08x = 67,682.85
  5. Step 5: Solve for x
    x = 67,682.85/282.08
  6. Step 6: Final answer
    x = 239.94

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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.