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Finding the Fourth Proportional to 154.90, 213.78 and 149.86

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Solution

The fourth proportional to 154.90, 213.78 and 149.86 is: 206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.90 : 213.78 = 149.86 : x
  2. Step 2: Convert to fraction form
    154.90/213.78 = 149.86/x
  3. Step 3: Cross multiply
    154.90x = 213.78 × 149.86
  4. Step 4: Simplify right side
    154.90x = 32,037.07
  5. Step 5: Solve for x
    x = 32,037.07/154.90
  6. Step 6: Final answer
    x = 206.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.