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Finding the Fourth Proportional to 154.54, 230.15 and 149.15

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Solution

The fourth proportional to 154.54, 230.15 and 149.15 is: 222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.54 : 230.15 = 149.15 : x
  2. Step 2: Convert to fraction form
    154.54/230.15 = 149.15/x
  3. Step 3: Cross multiply
    154.54x = 230.15 × 149.15
  4. Step 4: Simplify right side
    154.54x = 34,324.98
  5. Step 5: Solve for x
    x = 34,324.98/154.54
  6. Step 6: Final answer
    x = 222.12

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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.