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Finding the Fourth Proportional to 150.96, 224.52 and 150.42

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Solution

The fourth proportional to 150.96, 224.52 and 150.42 is: 223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.96 : 224.52 = 150.42 : x
  2. Step 2: Convert to fraction form
    150.96/224.52 = 150.42/x
  3. Step 3: Cross multiply
    150.96x = 224.52 × 150.42
  4. Step 4: Simplify right side
    150.96x = 33,772.30
  5. Step 5: Solve for x
    x = 33,772.30/150.96
  6. Step 6: Final answer
    x = 223.72

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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.