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Finding the Fourth Proportional to 160.68, 240.71 and 126.29

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Solution

The fourth proportional to 160.68, 240.71 and 126.29 is: 189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.68 : 240.71 = 126.29 : x
  2. Step 2: Convert to fraction form
    160.68/240.71 = 126.29/x
  3. Step 3: Cross multiply
    160.68x = 240.71 × 126.29
  4. Step 4: Simplify right side
    160.68x = 30,398.59
  5. Step 5: Solve for x
    x = 30,398.59/160.68
  6. Step 6: Final answer
    x = 189.18

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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.