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Finding the Fourth Proportional to 149.14, 222.12 and 139.12

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Solution

The fourth proportional to 149.14, 222.12 and 139.12 is: 207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.14 : 222.12 = 139.12 : x
  2. Step 2: Convert to fraction form
    149.14/222.12 = 139.12/x
  3. Step 3: Cross multiply
    149.14x = 222.12 × 139.12
  4. Step 4: Simplify right side
    149.14x = 30,900.39
  5. Step 5: Solve for x
    x = 30,900.39/149.14
  6. Step 6: Final answer
    x = 207.19

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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.