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Finding the Fourth Proportional to 154.86, 212.48 and 150.78

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Solution

The fourth proportional to 154.86, 212.48 and 150.78 is: 206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.86 : 212.48 = 150.78 : x
  2. Step 2: Convert to fraction form
    154.86/212.48 = 150.78/x
  3. Step 3: Cross multiply
    154.86x = 212.48 × 150.78
  4. Step 4: Simplify right side
    154.86x = 32,036.98
  5. Step 5: Solve for x
    x = 32,036.98/154.86
  6. Step 6: Final answer
    x = 206.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.