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Finding the Fourth Proportional to 403.25, 604.97 and 146.75

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Solution

The fourth proportional to 403.25, 604.97 and 146.75 is: 220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.25 : 604.97 = 146.75 : x
  2. Step 2: Convert to fraction form
    403.25/604.97 = 146.75/x
  3. Step 3: Cross multiply
    403.25x = 604.97 × 146.75
  4. Step 4: Simplify right side
    403.25x = 88,778.61
  5. Step 5: Solve for x
    x = 88,778.61/403.25
  6. Step 6: Final answer
    x = 220.16

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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.