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Finding the Fourth Proportional to 392.16, 588.24 and 161.04

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Solution

The fourth proportional to 392.16, 588.24 and 161.04 is: 241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.16 : 588.24 = 161.04 : x
  2. Step 2: Convert to fraction form
    392.16/588.24 = 161.04/x
  3. Step 3: Cross multiply
    392.16x = 588.24 × 161.04
  4. Step 4: Simplify right side
    392.16x = 94,730.17
  5. Step 5: Solve for x
    x = 94,730.17/392.16
  6. Step 6: Final answer
    x = 241.56

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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.