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Finding the Fourth Proportional to 195.42, 269.44 and 158.48

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Solution

The fourth proportional to 195.42, 269.44 and 158.48 is: 218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.42 : 269.44 = 158.48 : x
  2. Step 2: Convert to fraction form
    195.42/269.44 = 158.48/x
  3. Step 3: Cross multiply
    195.42x = 269.44 × 158.48
  4. Step 4: Simplify right side
    195.42x = 42,700.85
  5. Step 5: Solve for x
    x = 42,700.85/195.42
  6. Step 6: Final answer
    x = 218.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.