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Finding the Fourth Proportional to 232.93, 321.32 and 158.25

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Solution

The fourth proportional to 232.93, 321.32 and 158.25 is: 218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.93 : 321.32 = 158.25 : x
  2. Step 2: Convert to fraction form
    232.93/321.32 = 158.25/x
  3. Step 3: Cross multiply
    232.93x = 321.32 × 158.25
  4. Step 4: Simplify right side
    232.93x = 50,848.89
  5. Step 5: Solve for x
    x = 50,848.89/232.93
  6. Step 6: Final answer
    x = 218.30

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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.