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Finding the Fourth Proportional to 400.05, 599.84 and 156.29

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Solution

The fourth proportional to 400.05, 599.84 and 156.29 is: 234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.05 : 599.84 = 156.29 : x
  2. Step 2: Convert to fraction form
    400.05/599.84 = 156.29/x
  3. Step 3: Cross multiply
    400.05x = 599.84 × 156.29
  4. Step 4: Simplify right side
    400.05x = 93,745.21
  5. Step 5: Solve for x
    x = 93,745.21/400.05
  6. Step 6: Final answer
    x = 234.33

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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.