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Finding the Fourth Proportional to 154.74, 231.20 and 149.36

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Solution

The fourth proportional to 154.74, 231.20 and 149.36 is: 223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.74 : 231.20 = 149.36 : x
  2. Step 2: Convert to fraction form
    154.74/231.20 = 149.36/x
  3. Step 3: Cross multiply
    154.74x = 231.20 × 149.36
  4. Step 4: Simplify right side
    154.74x = 34,530.69
  5. Step 5: Solve for x
    x = 34,530.69/154.74
  6. Step 6: Final answer
    x = 223.16

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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.