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Finding the Fourth Proportional to 160.57, 239.22 and 154.09

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Solution

The fourth proportional to 160.57, 239.22 and 154.09 is: 229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.57 : 239.22 = 154.09 : x
  2. Step 2: Convert to fraction form
    160.57/239.22 = 154.09/x
  3. Step 3: Cross multiply
    160.57x = 239.22 × 154.09
  4. Step 4: Simplify right side
    160.57x = 36,861.41
  5. Step 5: Solve for x
    x = 36,861.41/160.57
  6. Step 6: Final answer
    x = 229.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.