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Finding the Fourth Proportional to 154.25, 230.31 and 131.03

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Solution

The fourth proportional to 154.25, 230.31 and 131.03 is: 195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.25 : 230.31 = 131.03 : x
  2. Step 2: Convert to fraction form
    154.25/230.31 = 131.03/x
  3. Step 3: Cross multiply
    154.25x = 230.31 × 131.03
  4. Step 4: Simplify right side
    154.25x = 30,177.52
  5. Step 5: Solve for x
    x = 30,177.52/154.25
  6. Step 6: Final answer
    x = 195.64

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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.