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Finding the Fourth Proportional to 154.60, 230.77 and 132.80

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Solution

The fourth proportional to 154.60, 230.77 and 132.80 is: 198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.60 : 230.77 = 132.80 : x
  2. Step 2: Convert to fraction form
    154.60/230.77 = 132.80/x
  3. Step 3: Cross multiply
    154.60x = 230.77 × 132.80
  4. Step 4: Simplify right side
    154.60x = 30,646.26
  5. Step 5: Solve for x
    x = 30,646.26/154.60
  6. Step 6: Final answer
    x = 198.23

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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.