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Finding the Fourth Proportional to 150.27, 223.71 and 149.46

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Solution

The fourth proportional to 150.27, 223.71 and 149.46 is: 222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.27 : 223.71 = 149.46 : x
  2. Step 2: Convert to fraction form
    150.27/223.71 = 149.46/x
  3. Step 3: Cross multiply
    150.27x = 223.71 × 149.46
  4. Step 4: Simplify right side
    150.27x = 33,434.95
  5. Step 5: Solve for x
    x = 33,434.95/150.27
  6. Step 6: Final answer
    x = 222.50

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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.