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Finding the Fourth Proportional to 154.10, 230.19 and 153.38

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Solution

The fourth proportional to 154.10, 230.19 and 153.38 is: 229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.10 : 230.19 = 153.38 : x
  2. Step 2: Convert to fraction form
    154.10/230.19 = 153.38/x
  3. Step 3: Cross multiply
    154.10x = 230.19 × 153.38
  4. Step 4: Simplify right side
    154.10x = 35,305.78
  5. Step 5: Solve for x
    x = 35,305.78/154.10
  6. Step 6: Final answer
    x = 229.11

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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.