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Finding the Fourth Proportional to 402.78, 604.22 and 114.22

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Solution

The fourth proportional to 402.78, 604.22 and 114.22 is: 171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.78 : 604.22 = 114.22 : x
  2. Step 2: Convert to fraction form
    402.78/604.22 = 114.22/x
  3. Step 3: Cross multiply
    402.78x = 604.22 × 114.22
  4. Step 4: Simplify right side
    402.78x = 69,014.01
  5. Step 5: Solve for x
    x = 69,014.01/402.78
  6. Step 6: Final answer
    x = 171.34

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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.