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Finding the Fourth Proportional to 130.97, 195.44 and 130.22

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Solution

The fourth proportional to 130.97, 195.44 and 130.22 is: 194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.97 : 195.44 = 130.22 : x
  2. Step 2: Convert to fraction form
    130.97/195.44 = 130.22/x
  3. Step 3: Cross multiply
    130.97x = 195.44 × 130.22
  4. Step 4: Simplify right side
    130.97x = 25,448.57
  5. Step 5: Solve for x
    x = 25,448.57/130.97
  6. Step 6: Final answer
    x = 194.31

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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.