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Finding the Fourth Proportional to 400.43, 600.86 and 153.80

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Solution

The fourth proportional to 400.43, 600.86 and 153.80 is: 230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.43 : 600.86 = 153.80 : x
  2. Step 2: Convert to fraction form
    400.43/600.86 = 153.80/x
  3. Step 3: Cross multiply
    400.43x = 600.86 × 153.80
  4. Step 4: Simplify right side
    400.43x = 92,408.49
  5. Step 5: Solve for x
    x = 92,408.49/400.43
  6. Step 6: Final answer
    x = 230.78

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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.