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Finding the Fourth Proportional to 149.76, 225.14 and 140.24

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Solution

The fourth proportional to 149.76, 225.14 and 140.24 is: 210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.76 : 225.14 = 140.24 : x
  2. Step 2: Convert to fraction form
    149.76/225.14 = 140.24/x
  3. Step 3: Cross multiply
    149.76x = 225.14 × 140.24
  4. Step 4: Simplify right side
    149.76x = 31,571.81
  5. Step 5: Solve for x
    x = 31,571.81/149.76
  6. Step 6: Final answer
    x = 210.82

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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.