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Finding the Fourth Proportional to 150.43, 224.14 and 143.79

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Solution

The fourth proportional to 150.43, 224.14 and 143.79 is: 214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.43 : 224.14 = 143.79 : x
  2. Step 2: Convert to fraction form
    150.43/224.14 = 143.79/x
  3. Step 3: Cross multiply
    150.43x = 224.14 × 143.79
  4. Step 4: Simplify right side
    150.43x = 32,228.88
  5. Step 5: Solve for x
    x = 32,228.88/150.43
  6. Step 6: Final answer
    x = 214.25

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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.