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Finding the Fourth Proportional to 232.00, 320.16 and 132.43

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Solution

The fourth proportional to 232.00, 320.16 and 132.43 is: 182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.00 : 320.16 = 132.43 : x
  2. Step 2: Convert to fraction form
    232.00/320.16 = 132.43/x
  3. Step 3: Cross multiply
    232.00x = 320.16 × 132.43
  4. Step 4: Simplify right side
    232.00x = 42,397.99
  5. Step 5: Solve for x
    x = 42,397.99/232.00
  6. Step 6: Final answer
    x = 182.75

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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.