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Finding the Fourth Proportional to 150.08, 224.90 and 119.26

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Solution

The fourth proportional to 150.08, 224.90 and 119.26 is: 178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.08 : 224.90 = 119.26 : x
  2. Step 2: Convert to fraction form
    150.08/224.90 = 119.26/x
  3. Step 3: Cross multiply
    150.08x = 224.90 × 119.26
  4. Step 4: Simplify right side
    150.08x = 26,820.42
  5. Step 5: Solve for x
    x = 26,820.42/150.08
  6. Step 6: Final answer
    x = 178.71

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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.