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Finding the Fourth Proportional to 402.82, 604.20 and 146.14

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Solution

The fourth proportional to 402.82, 604.20 and 146.14 is: 219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.82 : 604.20 = 146.14 : x
  2. Step 2: Convert to fraction form
    402.82/604.20 = 146.14/x
  3. Step 3: Cross multiply
    402.82x = 604.20 × 146.14
  4. Step 4: Simplify right side
    402.82x = 88,297.79
  5. Step 5: Solve for x
    x = 88,297.79/402.82
  6. Step 6: Final answer
    x = 219.20

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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.