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Finding the Fourth Proportional to 400.27, 600.51 and 153.48

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Solution

The fourth proportional to 400.27, 600.51 and 153.48 is: 230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.27 : 600.51 = 153.48 : x
  2. Step 2: Convert to fraction form
    400.27/600.51 = 153.48/x
  3. Step 3: Cross multiply
    400.27x = 600.51 × 153.48
  4. Step 4: Simplify right side
    400.27x = 92,163.27
  5. Step 5: Solve for x
    x = 92,163.27/400.27
  6. Step 6: Final answer
    x = 230.25

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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.