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Finding the Fourth Proportional to 400.23, 600.14 and 183.66

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Solution

The fourth proportional to 400.23, 600.14 and 183.66 is: 275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.23 : 600.14 = 183.66 : x
  2. Step 2: Convert to fraction form
    400.23/600.14 = 183.66/x
  3. Step 3: Cross multiply
    400.23x = 600.14 × 183.66
  4. Step 4: Simplify right side
    400.23x = 110,220.79
  5. Step 5: Solve for x
    x = 110,220.79/400.23
  6. Step 6: Final answer
    x = 275.39

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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.