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Finding the Fourth Proportional to 149.25, 222.82 and 126.19

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Solution

The fourth proportional to 149.25, 222.82 and 126.19 is: 188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.25 : 222.82 = 126.19 : x
  2. Step 2: Convert to fraction form
    149.25/222.82 = 126.19/x
  3. Step 3: Cross multiply
    149.25x = 222.82 × 126.19
  4. Step 4: Simplify right side
    149.25x = 28,117.66
  5. Step 5: Solve for x
    x = 28,117.66/149.25
  6. Step 6: Final answer
    x = 188.39

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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.