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Finding the Fourth Proportional to 154.28, 213.92 and 146.08

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Solution

The fourth proportional to 154.28, 213.92 and 146.08 is: 202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.28 : 213.92 = 146.08 : x
  2. Step 2: Convert to fraction form
    154.28/213.92 = 146.08/x
  3. Step 3: Cross multiply
    154.28x = 213.92 × 146.08
  4. Step 4: Simplify right side
    154.28x = 31,249.43
  5. Step 5: Solve for x
    x = 31,249.43/154.28
  6. Step 6: Final answer
    x = 202.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.