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Finding the Fourth Proportional to 165.92, 247.24 and 156.32

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Solution

The fourth proportional to 165.92, 247.24 and 156.32 is: 232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.92 : 247.24 = 156.32 : x
  2. Step 2: Convert to fraction form
    165.92/247.24 = 156.32/x
  3. Step 3: Cross multiply
    165.92x = 247.24 × 156.32
  4. Step 4: Simplify right side
    165.92x = 38,648.56
  5. Step 5: Solve for x
    x = 38,648.56/165.92
  6. Step 6: Final answer
    x = 232.93

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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.