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Finding the Fourth Proportional to 154.44, 230.40 and 142.29

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Solution

The fourth proportional to 154.44, 230.40 and 142.29 is: 212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.44 : 230.40 = 142.29 : x
  2. Step 2: Convert to fraction form
    154.44/230.40 = 142.29/x
  3. Step 3: Cross multiply
    154.44x = 230.40 × 142.29
  4. Step 4: Simplify right side
    154.44x = 32,783.62
  5. Step 5: Solve for x
    x = 32,783.62/154.44
  6. Step 6: Final answer
    x = 212.27

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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.