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Finding the Fourth Proportional to 147.78, 222.12 and 143.55

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Solution

The fourth proportional to 147.78, 222.12 and 143.55 is: 215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.78 : 222.12 = 143.55 : x
  2. Step 2: Convert to fraction form
    147.78/222.12 = 143.55/x
  3. Step 3: Cross multiply
    147.78x = 222.12 × 143.55
  4. Step 4: Simplify right side
    147.78x = 31,885.33
  5. Step 5: Solve for x
    x = 31,885.33/147.78
  6. Step 6: Final answer
    x = 215.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.