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Finding the Fourth Proportional to 232.81, 320.97 and 167.20

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Solution

The fourth proportional to 232.81, 320.97 and 167.20 is: 230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.81 : 320.97 = 167.20 : x
  2. Step 2: Convert to fraction form
    232.81/320.97 = 167.20/x
  3. Step 3: Cross multiply
    232.81x = 320.97 × 167.20
  4. Step 4: Simplify right side
    232.81x = 53,666.18
  5. Step 5: Solve for x
    x = 53,666.18/232.81
  6. Step 6: Final answer
    x = 230.51

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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.