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Finding the Fourth Proportional to 154.12, 231.34 and 144.20

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Solution

The fourth proportional to 154.12, 231.34 and 144.20 is: 216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.12 : 231.34 = 144.20 : x
  2. Step 2: Convert to fraction form
    154.12/231.34 = 144.20/x
  3. Step 3: Cross multiply
    154.12x = 231.34 × 144.20
  4. Step 4: Simplify right side
    154.12x = 33,359.23
  5. Step 5: Solve for x
    x = 33,359.23/154.12
  6. Step 6: Final answer
    x = 216.45

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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.