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Finding the Fourth Proportional to 149.12, 222.40 and 143.52

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Solution

The fourth proportional to 149.12, 222.40 and 143.52 is: 214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.12 : 222.40 = 143.52 : x
  2. Step 2: Convert to fraction form
    149.12/222.40 = 143.52/x
  3. Step 3: Cross multiply
    149.12x = 222.40 × 143.52
  4. Step 4: Simplify right side
    149.12x = 31,918.85
  5. Step 5: Solve for x
    x = 31,918.85/149.12
  6. Step 6: Final answer
    x = 214.05

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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.