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Finding the Fourth Proportional to 392.25, 588.32 and 161.15

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Solution

The fourth proportional to 392.25, 588.32 and 161.15 is: 241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.25 : 588.32 = 161.15 : x
  2. Step 2: Convert to fraction form
    392.25/588.32 = 161.15/x
  3. Step 3: Cross multiply
    392.25x = 588.32 × 161.15
  4. Step 4: Simplify right side
    392.25x = 94,808.43
  5. Step 5: Solve for x
    x = 94,808.43/392.25
  6. Step 6: Final answer
    x = 241.70

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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.