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Finding the Fourth Proportional to 400.05, 599.91 and 153.23

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Solution

The fourth proportional to 400.05, 599.91 and 153.23 is: 229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.05 : 599.91 = 153.23 : x
  2. Step 2: Convert to fraction form
    400.05/599.91 = 153.23/x
  3. Step 3: Cross multiply
    400.05x = 599.91 × 153.23
  4. Step 4: Simplify right side
    400.05x = 91,921.21
  5. Step 5: Solve for x
    x = 91,921.21/400.05
  6. Step 6: Final answer
    x = 229.77

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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.