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Finding the Fourth Proportional to 149.78, 206.79 and 114.74

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Solution

The fourth proportional to 149.78, 206.79 and 114.74 is: 158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.78 : 206.79 = 114.74 : x
  2. Step 2: Convert to fraction form
    149.78/206.79 = 114.74/x
  3. Step 3: Cross multiply
    149.78x = 206.79 × 114.74
  4. Step 4: Simplify right side
    149.78x = 23,727.10
  5. Step 5: Solve for x
    x = 23,727.10/149.78
  6. Step 6: Final answer
    x = 158.42

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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.