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Finding the Fourth Proportional to 232.77, 320.94 and 149.88

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Solution

The fourth proportional to 232.77, 320.94 and 149.88 is: 206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.77 : 320.94 = 149.88 : x
  2. Step 2: Convert to fraction form
    232.77/320.94 = 149.88/x
  3. Step 3: Cross multiply
    232.77x = 320.94 × 149.88
  4. Step 4: Simplify right side
    232.77x = 48,102.49
  5. Step 5: Solve for x
    x = 48,102.49/232.77
  6. Step 6: Final answer
    x = 206.65

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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.