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Finding the Fourth Proportional to 150.46, 224.10 and 144.28

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Solution

The fourth proportional to 150.46, 224.10 and 144.28 is: 214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.46 : 224.10 = 144.28 : x
  2. Step 2: Convert to fraction form
    150.46/224.10 = 144.28/x
  3. Step 3: Cross multiply
    150.46x = 224.10 × 144.28
  4. Step 4: Simplify right side
    150.46x = 32,333.43
  5. Step 5: Solve for x
    x = 32,333.43/150.46
  6. Step 6: Final answer
    x = 214.90

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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.