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Finding the Fourth Proportional to 232.76, 320.92 and 188.96

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Solution

The fourth proportional to 232.76, 320.92 and 188.96 is: 260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.76 : 320.92 = 188.96 : x
  2. Step 2: Convert to fraction form
    232.76/320.92 = 188.96/x
  3. Step 3: Cross multiply
    232.76x = 320.92 × 188.96
  4. Step 4: Simplify right side
    232.76x = 60,641.04
  5. Step 5: Solve for x
    x = 60,641.04/232.76
  6. Step 6: Final answer
    x = 260.53

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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.