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Finding the Fourth Proportional to 149.33, 224.03 and 45.23

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Solution

The fourth proportional to 149.33, 224.03 and 45.23 is: 67.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.33 : 224.03 = 45.23 : x
  2. Step 2: Convert to fraction form
    149.33/224.03 = 45.23/x
  3. Step 3: Cross multiply
    149.33x = 224.03 × 45.23
  4. Step 4: Simplify right side
    149.33x = 10,131.87
  5. Step 5: Solve for x
    x = 10,131.87/149.33
  6. Step 6: Final answer
    x = 67.85

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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.