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Finding the Fourth Proportional to 232.53, 320.99 and 149.75

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Solution

The fourth proportional to 232.53, 320.99 and 149.75 is: 206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.53 : 320.99 = 149.75 : x
  2. Step 2: Convert to fraction form
    232.53/320.99 = 149.75/x
  3. Step 3: Cross multiply
    232.53x = 320.99 × 149.75
  4. Step 4: Simplify right side
    232.53x = 48,066.74
  5. Step 5: Solve for x
    x = 48,066.74/232.53
  6. Step 6: Final answer
    x = 206.71

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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.