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Finding the Fourth Proportional to 195.24, 293.46 and 130.47

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Solution

The fourth proportional to 195.24, 293.46 and 130.47 is: 196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.24 : 293.46 = 130.47 : x
  2. Step 2: Convert to fraction form
    195.24/293.46 = 130.47/x
  3. Step 3: Cross multiply
    195.24x = 293.46 × 130.47
  4. Step 4: Simplify right side
    195.24x = 38,287.73
  5. Step 5: Solve for x
    x = 38,287.73/195.24
  6. Step 6: Final answer
    x = 196.11

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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.