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Finding the Fourth Proportional to 149.68, 206.85 and 120.52

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Solution

The fourth proportional to 149.68, 206.85 and 120.52 is: 166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.68 : 206.85 = 120.52 : x
  2. Step 2: Convert to fraction form
    149.68/206.85 = 120.52/x
  3. Step 3: Cross multiply
    149.68x = 206.85 × 120.52
  4. Step 4: Simplify right side
    149.68x = 24,929.56
  5. Step 5: Solve for x
    x = 24,929.56/149.68
  6. Step 6: Final answer
    x = 166.55

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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.