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Finding the Fourth Proportional to 232.29, 320.22 and 176.93

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Solution

The fourth proportional to 232.29, 320.22 and 176.93 is: 243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.29 : 320.22 = 176.93 : x
  2. Step 2: Convert to fraction form
    232.29/320.22 = 176.93/x
  3. Step 3: Cross multiply
    232.29x = 320.22 × 176.93
  4. Step 4: Simplify right side
    232.29x = 56,654.84
  5. Step 5: Solve for x
    x = 56,654.84/232.29
  6. Step 6: Final answer
    x = 243.90

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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.