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Finding the Fourth Proportional to 146.68, 220.12 and 137.57

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Solution

The fourth proportional to 146.68, 220.12 and 137.57 is: 206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.68 : 220.12 = 137.57 : x
  2. Step 2: Convert to fraction form
    146.68/220.12 = 137.57/x
  3. Step 3: Cross multiply
    146.68x = 220.12 × 137.57
  4. Step 4: Simplify right side
    146.68x = 30,280.46
  5. Step 5: Solve for x
    x = 30,280.46/146.68
  6. Step 6: Final answer
    x = 206.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.