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Finding the Fourth Proportional to 366.65, 506.16 and 249.24

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Solution

The fourth proportional to 366.65, 506.16 and 249.24 is: 344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.65 : 506.16 = 249.24 : x
  2. Step 2: Convert to fraction form
    366.65/506.16 = 249.24/x
  3. Step 3: Cross multiply
    366.65x = 506.16 × 249.24
  4. Step 4: Simplify right side
    366.65x = 126,154.07
  5. Step 5: Solve for x
    x = 126,154.07/366.65
  6. Step 6: Final answer
    x = 344.08

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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.