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Finding the Fourth Proportional to 392.61, 588.89 and 161.46

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Solution

The fourth proportional to 392.61, 588.89 and 161.46 is: 242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.61 : 588.89 = 161.46 : x
  2. Step 2: Convert to fraction form
    392.61/588.89 = 161.46/x
  3. Step 3: Cross multiply
    392.61x = 588.89 × 161.46
  4. Step 4: Simplify right side
    392.61x = 95,081.37
  5. Step 5: Solve for x
    x = 95,081.37/392.61
  6. Step 6: Final answer
    x = 242.18

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Why These Related Problems?

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