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Finding the Fourth Proportional to 232.04, 320.28 and 158.54

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Solution

The fourth proportional to 232.04, 320.28 and 158.54 is: 218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.04 : 320.28 = 158.54 : x
  2. Step 2: Convert to fraction form
    232.04/320.28 = 158.54/x
  3. Step 3: Cross multiply
    232.04x = 320.28 × 158.54
  4. Step 4: Simplify right side
    232.04x = 50,777.19
  5. Step 5: Solve for x
    x = 50,777.19/232.04
  6. Step 6: Final answer
    x = 218.83

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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.