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Finding the Fourth Proportional to 160.92, 240.17 and 156.60

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Solution

The fourth proportional to 160.92, 240.17 and 156.60 is: 233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.92 : 240.17 = 156.60 : x
  2. Step 2: Convert to fraction form
    160.92/240.17 = 156.60/x
  3. Step 3: Cross multiply
    160.92x = 240.17 × 156.60
  4. Step 4: Simplify right side
    160.92x = 37,609.84
  5. Step 5: Solve for x
    x = 37,609.84/160.92
  6. Step 6: Final answer
    x = 233.72

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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.