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Finding the Fourth Proportional to 402.75, 604.13 and 146.25

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Solution

The fourth proportional to 402.75, 604.13 and 146.25 is: 219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.75 : 604.13 = 146.25 : x
  2. Step 2: Convert to fraction form
    402.75/604.13 = 146.25/x
  3. Step 3: Cross multiply
    402.75x = 604.13 × 146.25
  4. Step 4: Simplify right side
    402.75x = 88,353.28
  5. Step 5: Solve for x
    x = 88,353.28/402.75
  6. Step 6: Final answer
    x = 219.38

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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.