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Finding the Fourth Proportional to 392.53, 588.66 and 149.05

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Solution

The fourth proportional to 392.53, 588.66 and 149.05 is: 223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.53 : 588.66 = 149.05 : x
  2. Step 2: Convert to fraction form
    392.53/588.66 = 149.05/x
  3. Step 3: Cross multiply
    392.53x = 588.66 × 149.05
  4. Step 4: Simplify right side
    392.53x = 87,739.77
  5. Step 5: Solve for x
    x = 87,739.77/392.53
  6. Step 6: Final answer
    x = 223.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.