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Finding the Fourth Proportional to 366.44, 505.92 and 250.16

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Solution

The fourth proportional to 366.44, 505.92 and 250.16 is: 345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.44 : 505.92 = 250.16 : x
  2. Step 2: Convert to fraction form
    366.44/505.92 = 250.16/x
  3. Step 3: Cross multiply
    366.44x = 505.92 × 250.16
  4. Step 4: Simplify right side
    366.44x = 126,560.95
  5. Step 5: Solve for x
    x = 126,560.95/366.44
  6. Step 6: Final answer
    x = 345.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.