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Finding the Fourth Proportional to 149.82, 224.24 and 144.47

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Solution

The fourth proportional to 149.82, 224.24 and 144.47 is: 216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.82 : 224.24 = 144.47 : x
  2. Step 2: Convert to fraction form
    149.82/224.24 = 144.47/x
  3. Step 3: Cross multiply
    149.82x = 224.24 × 144.47
  4. Step 4: Simplify right side
    149.82x = 32,394.11
  5. Step 5: Solve for x
    x = 32,394.11/149.82
  6. Step 6: Final answer
    x = 216.22

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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.