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Finding the Fourth Proportional to 222.36, 306.96 and 144.78

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Solution

The fourth proportional to 222.36, 306.96 and 144.78 is: 199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.36 : 306.96 = 144.78 : x
  2. Step 2: Convert to fraction form
    222.36/306.96 = 144.78/x
  3. Step 3: Cross multiply
    222.36x = 306.96 × 144.78
  4. Step 4: Simplify right side
    222.36x = 44,441.67
  5. Step 5: Solve for x
    x = 44,441.67/222.36
  6. Step 6: Final answer
    x = 199.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.