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Finding the Fourth Proportional to 422.78, 634.24 and 145.10

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Solution

The fourth proportional to 422.78, 634.24 and 145.10 is: 217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.78 : 634.24 = 145.10 : x
  2. Step 2: Convert to fraction form
    422.78/634.24 = 145.10/x
  3. Step 3: Cross multiply
    422.78x = 634.24 × 145.10
  4. Step 4: Simplify right side
    422.78x = 92,028.22
  5. Step 5: Solve for x
    x = 92,028.22/422.78
  6. Step 6: Final answer
    x = 217.67

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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.