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Finding the Fourth Proportional to 150.85, 225.80 and 140.86

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Solution

The fourth proportional to 150.85, 225.80 and 140.86 is: 210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.85 : 225.80 = 140.86 : x
  2. Step 2: Convert to fraction form
    150.85/225.80 = 140.86/x
  3. Step 3: Cross multiply
    150.85x = 225.80 × 140.86
  4. Step 4: Simplify right side
    150.85x = 31,806.19
  5. Step 5: Solve for x
    x = 31,806.19/150.85
  6. Step 6: Final answer
    x = 210.85

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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.