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Finding the Fourth Proportional to 239.72, 358.22 and 195.88

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Solution

The fourth proportional to 239.72, 358.22 and 195.88 is: 292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.72 : 358.22 = 195.88 : x
  2. Step 2: Convert to fraction form
    239.72/358.22 = 195.88/x
  3. Step 3: Cross multiply
    239.72x = 358.22 × 195.88
  4. Step 4: Simplify right side
    239.72x = 70,168.13
  5. Step 5: Solve for x
    x = 70,168.13/239.72
  6. Step 6: Final answer
    x = 292.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.