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Finding the Fourth Proportional to 150.22, 224.02 and 144.15

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Solution

The fourth proportional to 150.22, 224.02 and 144.15 is: 214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.22 : 224.02 = 144.15 : x
  2. Step 2: Convert to fraction form
    150.22/224.02 = 144.15/x
  3. Step 3: Cross multiply
    150.22x = 224.02 × 144.15
  4. Step 4: Simplify right side
    150.22x = 32,292.48
  5. Step 5: Solve for x
    x = 32,292.48/150.22
  6. Step 6: Final answer
    x = 214.97

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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.