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Finding the Fourth Proportional to 154.80, 231.00 and 137.54

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Solution

The fourth proportional to 154.80, 231.00 and 137.54 is: 205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.80 : 231.00 = 137.54 : x
  2. Step 2: Convert to fraction form
    154.80/231.00 = 137.54/x
  3. Step 3: Cross multiply
    154.80x = 231.00 × 137.54
  4. Step 4: Simplify right side
    154.80x = 31,772.41
  5. Step 5: Solve for x
    x = 31,772.41/154.80
  6. Step 6: Final answer
    x = 205.25

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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.