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Finding the Fourth Proportional to 195.18, 269.35 and 106.66

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Solution

The fourth proportional to 195.18, 269.35 and 106.66 is: 147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.18 : 269.35 = 106.66 : x
  2. Step 2: Convert to fraction form
    195.18/269.35 = 106.66/x
  3. Step 3: Cross multiply
    195.18x = 269.35 × 106.66
  4. Step 4: Simplify right side
    195.18x = 28,728.87
  5. Step 5: Solve for x
    x = 28,728.87/195.18
  6. Step 6: Final answer
    x = 147.19

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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.