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Finding the Fourth Proportional to 232.44, 320.76 and 149.64

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Solution

The fourth proportional to 232.44, 320.76 and 149.64 is: 206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.44 : 320.76 = 149.64 : x
  2. Step 2: Convert to fraction form
    232.44/320.76 = 149.64/x
  3. Step 3: Cross multiply
    232.44x = 320.76 × 149.64
  4. Step 4: Simplify right side
    232.44x = 47,998.53
  5. Step 5: Solve for x
    x = 47,998.53/232.44
  6. Step 6: Final answer
    x = 206.50

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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.