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Finding the Fourth Proportional to 195.87, 269.58 and 149.16

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Solution

The fourth proportional to 195.87, 269.58 and 149.16 is: 205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.87 : 269.58 = 149.16 : x
  2. Step 2: Convert to fraction form
    195.87/269.58 = 149.16/x
  3. Step 3: Cross multiply
    195.87x = 269.58 × 149.16
  4. Step 4: Simplify right side
    195.87x = 40,210.55
  5. Step 5: Solve for x
    x = 40,210.55/195.87
  6. Step 6: Final answer
    x = 205.29

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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.