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Finding the Fourth Proportional to 160.69, 239.11 and 160.15

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Solution

The fourth proportional to 160.69, 239.11 and 160.15 is: 238.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.69 : 239.11 = 160.15 : x
  2. Step 2: Convert to fraction form
    160.69/239.11 = 160.15/x
  3. Step 3: Cross multiply
    160.69x = 239.11 × 160.15
  4. Step 4: Simplify right side
    160.69x = 38,293.47
  5. Step 5: Solve for x
    x = 38,293.47/160.69
  6. Step 6: Final answer
    x = 238.31

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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.