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Finding the Fourth Proportional to 154.78, 231.63 and 118.42

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Solution

The fourth proportional to 154.78, 231.63 and 118.42 is: 177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.78 : 231.63 = 118.42 : x
  2. Step 2: Convert to fraction form
    154.78/231.63 = 118.42/x
  3. Step 3: Cross multiply
    154.78x = 231.63 × 118.42
  4. Step 4: Simplify right side
    154.78x = 27,429.62
  5. Step 5: Solve for x
    x = 27,429.62/154.78
  6. Step 6: Final answer
    x = 177.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.