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Finding the Fourth Proportional to 149.59, 222.75 and 137.44

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Solution

The fourth proportional to 149.59, 222.75 and 137.44 is: 204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.59 : 222.75 = 137.44 : x
  2. Step 2: Convert to fraction form
    149.59/222.75 = 137.44/x
  3. Step 3: Cross multiply
    149.59x = 222.75 × 137.44
  4. Step 4: Simplify right side
    149.59x = 30,614.76
  5. Step 5: Solve for x
    x = 30,614.76/149.59
  6. Step 6: Final answer
    x = 204.66

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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.