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Finding the Fourth Proportional to 149.67, 206.78 and 103.20

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Solution

The fourth proportional to 149.67, 206.78 and 103.20 is: 142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.67 : 206.78 = 103.20 : x
  2. Step 2: Convert to fraction form
    149.67/206.78 = 103.20/x
  3. Step 3: Cross multiply
    149.67x = 206.78 × 103.20
  4. Step 4: Simplify right side
    149.67x = 21,339.70
  5. Step 5: Solve for x
    x = 21,339.70/149.67
  6. Step 6: Final answer
    x = 142.58

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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.