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Finding the Fourth Proportional to 150.39, 224.72 and 119.63

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Solution

The fourth proportional to 150.39, 224.72 and 119.63 is: 178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.39 : 224.72 = 119.63 : x
  2. Step 2: Convert to fraction form
    150.39/224.72 = 119.63/x
  3. Step 3: Cross multiply
    150.39x = 224.72 × 119.63
  4. Step 4: Simplify right side
    150.39x = 26,882.66
  5. Step 5: Solve for x
    x = 26,882.66/150.39
  6. Step 6: Final answer
    x = 178.75

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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.