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Finding the Fourth Proportional to 232.56, 320.72 and 158.96

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Solution

The fourth proportional to 232.56, 320.72 and 158.96 is: 219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.56 : 320.72 = 158.96 : x
  2. Step 2: Convert to fraction form
    232.56/320.72 = 158.96/x
  3. Step 3: Cross multiply
    232.56x = 320.72 × 158.96
  4. Step 4: Simplify right side
    232.56x = 50,981.65
  5. Step 5: Solve for x
    x = 50,981.65/232.56
  6. Step 6: Final answer
    x = 219.22

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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.