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Finding the Fourth Proportional to 154.20, 230.16 and 149.10

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Solution

The fourth proportional to 154.20, 230.16 and 149.10 is: 222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.20 : 230.16 = 149.10 : x
  2. Step 2: Convert to fraction form
    154.20/230.16 = 149.10/x
  3. Step 3: Cross multiply
    154.20x = 230.16 × 149.10
  4. Step 4: Simplify right side
    154.20x = 34,316.86
  5. Step 5: Solve for x
    x = 34,316.86/154.20
  6. Step 6: Final answer
    x = 222.55

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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.