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Finding the Fourth Proportional to 149.14, 222.46 and 145.90

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Solution

The fourth proportional to 149.14, 222.46 and 145.90 is: 217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.14 : 222.46 = 145.90 : x
  2. Step 2: Convert to fraction form
    149.14/222.46 = 145.90/x
  3. Step 3: Cross multiply
    149.14x = 222.46 × 145.90
  4. Step 4: Simplify right side
    149.14x = 32,456.91
  5. Step 5: Solve for x
    x = 32,456.91/149.14
  6. Step 6: Final answer
    x = 217.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.