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Finding the Fourth Proportional to 149.85, 206.78 and 106.27

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Solution

The fourth proportional to 149.85, 206.78 and 106.27 is: 146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.85 : 206.78 = 106.27 : x
  2. Step 2: Convert to fraction form
    149.85/206.78 = 106.27/x
  3. Step 3: Cross multiply
    149.85x = 206.78 × 106.27
  4. Step 4: Simplify right side
    149.85x = 21,974.51
  5. Step 5: Solve for x
    x = 21,974.51/149.85
  6. Step 6: Final answer
    x = 146.64

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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.