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Finding the Fourth Proportional to 149.20, 222.56 and 125.08

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Solution

The fourth proportional to 149.20, 222.56 and 125.08 is: 186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.20 : 222.56 = 125.08 : x
  2. Step 2: Convert to fraction form
    149.20/222.56 = 125.08/x
  3. Step 3: Cross multiply
    149.20x = 222.56 × 125.08
  4. Step 4: Simplify right side
    149.20x = 27,837.80
  5. Step 5: Solve for x
    x = 27,837.80/149.20
  6. Step 6: Final answer
    x = 186.58

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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.