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Finding the Fourth Proportional to 160.57, 239.02 and 153.11

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Solution

The fourth proportional to 160.57, 239.02 and 153.11 is: 227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.57 : 239.02 = 153.11 : x
  2. Step 2: Convert to fraction form
    160.57/239.02 = 153.11/x
  3. Step 3: Cross multiply
    160.57x = 239.02 × 153.11
  4. Step 4: Simplify right side
    160.57x = 36,596.57
  5. Step 5: Solve for x
    x = 36,596.57/160.57
  6. Step 6: Final answer
    x = 227.92

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Why These Related Problems?

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