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Finding the Fourth Proportional to 160.72, 238.92 and 156.72

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Solution

The fourth proportional to 160.72, 238.92 and 156.72 is: 232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.72 : 238.92 = 156.72 : x
  2. Step 2: Convert to fraction form
    160.72/238.92 = 156.72/x
  3. Step 3: Cross multiply
    160.72x = 238.92 × 156.72
  4. Step 4: Simplify right side
    160.72x = 37,443.54
  5. Step 5: Solve for x
    x = 37,443.54/160.72
  6. Step 6: Final answer
    x = 232.97

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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.