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Finding the Fourth Proportional to 232.08, 320.52 and 158.52

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Solution

The fourth proportional to 232.08, 320.52 and 158.52 is: 218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.08 : 320.52 = 158.52 : x
  2. Step 2: Convert to fraction form
    232.08/320.52 = 158.52/x
  3. Step 3: Cross multiply
    232.08x = 320.52 × 158.52
  4. Step 4: Simplify right side
    232.08x = 50,808.83
  5. Step 5: Solve for x
    x = 50,808.83/232.08
  6. Step 6: Final answer
    x = 218.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.