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Finding the Fourth Proportional to 150.19, 223.74 and 140.88

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Solution

The fourth proportional to 150.19, 223.74 and 140.88 is: 209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.19 : 223.74 = 140.88 : x
  2. Step 2: Convert to fraction form
    150.19/223.74 = 140.88/x
  3. Step 3: Cross multiply
    150.19x = 223.74 × 140.88
  4. Step 4: Simplify right side
    150.19x = 31,520.49
  5. Step 5: Solve for x
    x = 31,520.49/150.19
  6. Step 6: Final answer
    x = 209.87

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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.