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Finding the Fourth Proportional to 232.57, 320.96 and 127.66

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Solution

The fourth proportional to 232.57, 320.96 and 127.66 is: 176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.57 : 320.96 = 127.66 : x
  2. Step 2: Convert to fraction form
    232.57/320.96 = 127.66/x
  3. Step 3: Cross multiply
    232.57x = 320.96 × 127.66
  4. Step 4: Simplify right side
    232.57x = 40,973.75
  5. Step 5: Solve for x
    x = 40,973.75/232.57
  6. Step 6: Final answer
    x = 176.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.