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Finding the Fourth Proportional to 165.75, 247.16 and 156.17

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Solution

The fourth proportional to 165.75, 247.16 and 156.17 is: 232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.75 : 247.16 = 156.17 : x
  2. Step 2: Convert to fraction form
    165.75/247.16 = 156.17/x
  3. Step 3: Cross multiply
    165.75x = 247.16 × 156.17
  4. Step 4: Simplify right side
    165.75x = 38,596.96
  5. Step 5: Solve for x
    x = 38,596.96/165.75
  6. Step 6: Final answer
    x = 232.86

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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.