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Finding the Fourth Proportional to 150.19, 224.74 and 124.27

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Solution

The fourth proportional to 150.19, 224.74 and 124.27 is: 185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.19 : 224.74 = 124.27 : x
  2. Step 2: Convert to fraction form
    150.19/224.74 = 124.27/x
  3. Step 3: Cross multiply
    150.19x = 224.74 × 124.27
  4. Step 4: Simplify right side
    150.19x = 27,928.44
  5. Step 5: Solve for x
    x = 27,928.44/150.19
  6. Step 6: Final answer
    x = 185.95

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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.