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Finding the Fourth Proportional to 392.27, 588.30 and 158.01

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Solution

The fourth proportional to 392.27, 588.30 and 158.01 is: 236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.27 : 588.30 = 158.01 : x
  2. Step 2: Convert to fraction form
    392.27/588.30 = 158.01/x
  3. Step 3: Cross multiply
    392.27x = 588.30 × 158.01
  4. Step 4: Simplify right side
    392.27x = 92,955.02
  5. Step 5: Solve for x
    x = 92,955.02/392.27
  6. Step 6: Final answer
    x = 236.97

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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.