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Finding the Fourth Proportional to 151.92, 226.82 and 130.26

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Solution

The fourth proportional to 151.92, 226.82 and 130.26 is: 194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.92 : 226.82 = 130.26 : x
  2. Step 2: Convert to fraction form
    151.92/226.82 = 130.26/x
  3. Step 3: Cross multiply
    151.92x = 226.82 × 130.26
  4. Step 4: Simplify right side
    151.92x = 29,544.92
  5. Step 5: Solve for x
    x = 29,544.92/151.92
  6. Step 6: Final answer
    x = 194.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.