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Finding the Fourth Proportional to 149.27, 222.50 and 146.84

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Solution

The fourth proportional to 149.27, 222.50 and 146.84 is: 218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.27 : 222.50 = 146.84 : x
  2. Step 2: Convert to fraction form
    149.27/222.50 = 146.84/x
  3. Step 3: Cross multiply
    149.27x = 222.50 × 146.84
  4. Step 4: Simplify right side
    149.27x = 32,671.15
  5. Step 5: Solve for x
    x = 32,671.15/149.27
  6. Step 6: Final answer
    x = 218.88

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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.