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Finding the Fourth Proportional to 150.94, 224.97 and 143.24

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Solution

The fourth proportional to 150.94, 224.97 and 143.24 is: 213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.94 : 224.97 = 143.24 : x
  2. Step 2: Convert to fraction form
    150.94/224.97 = 143.24/x
  3. Step 3: Cross multiply
    150.94x = 224.97 × 143.24
  4. Step 4: Simplify right side
    150.94x = 32,224.70
  5. Step 5: Solve for x
    x = 32,224.70/150.94
  6. Step 6: Final answer
    x = 213.49

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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.