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Finding the Fourth Proportional to 400.19, 600.14 and 168.96

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Solution

The fourth proportional to 400.19, 600.14 and 168.96 is: 253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.19 : 600.14 = 168.96 : x
  2. Step 2: Convert to fraction form
    400.19/600.14 = 168.96/x
  3. Step 3: Cross multiply
    400.19x = 600.14 × 168.96
  4. Step 4: Simplify right side
    400.19x = 101,398.81
  5. Step 5: Solve for x
    x = 101,398.81/400.19
  6. Step 6: Final answer
    x = 253.38

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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.