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Finding the Fourth Proportional to 282.06, 422.63 and 160.41

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Solution

The fourth proportional to 282.06, 422.63 and 160.41 is: 240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.06 : 422.63 = 160.41 : x
  2. Step 2: Convert to fraction form
    282.06/422.63 = 160.41/x
  3. Step 3: Cross multiply
    282.06x = 422.63 × 160.41
  4. Step 4: Simplify right side
    282.06x = 67,794.08
  5. Step 5: Solve for x
    x = 67,794.08/282.06
  6. Step 6: Final answer
    x = 240.35

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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.