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Finding the Fourth Proportional to 392.29, 588.61 and 161.34

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Solution

The fourth proportional to 392.29, 588.61 and 161.34 is: 242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.29 : 588.61 = 161.34 : x
  2. Step 2: Convert to fraction form
    392.29/588.61 = 161.34/x
  3. Step 3: Cross multiply
    392.29x = 588.61 × 161.34
  4. Step 4: Simplify right side
    392.29x = 94,963.39
  5. Step 5: Solve for x
    x = 94,963.39/392.29
  6. Step 6: Final answer
    x = 242.08

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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.