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Finding the Fourth Proportional to 232.00, 319.98 and 138.66

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Solution

The fourth proportional to 232.00, 319.98 and 138.66 is: 191.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.00 : 319.98 = 138.66 : x
  2. Step 2: Convert to fraction form
    232.00/319.98 = 138.66/x
  3. Step 3: Cross multiply
    232.00x = 319.98 × 138.66
  4. Step 4: Simplify right side
    232.00x = 44,367.75
  5. Step 5: Solve for x
    x = 44,367.75/232.00
  6. Step 6: Final answer
    x = 191.24

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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.