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Finding the Fourth Proportional to 232.25, 320.27 and 149.36

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Solution

The fourth proportional to 232.25, 320.27 and 149.36 is: 205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.25 : 320.27 = 149.36 : x
  2. Step 2: Convert to fraction form
    232.25/320.27 = 149.36/x
  3. Step 3: Cross multiply
    232.25x = 320.27 × 149.36
  4. Step 4: Simplify right side
    232.25x = 47,833.18
  5. Step 5: Solve for x
    x = 47,833.18/232.25
  6. Step 6: Final answer
    x = 205.96

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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.