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Finding the Fourth Proportional to 195.15, 292.81 and 130.24

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Solution

The fourth proportional to 195.15, 292.81 and 130.24 is: 195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.15 : 292.81 = 130.24 : x
  2. Step 2: Convert to fraction form
    195.15/292.81 = 130.24/x
  3. Step 3: Cross multiply
    195.15x = 292.81 × 130.24
  4. Step 4: Simplify right side
    195.15x = 38,135.57
  5. Step 5: Solve for x
    x = 38,135.57/195.15
  6. Step 6: Final answer
    x = 195.42

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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.