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Finding the Fourth Proportional to 360.16, 496.42 and 249.40

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Solution

The fourth proportional to 360.16, 496.42 and 249.40 is: 343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.16 : 496.42 = 249.40 : x
  2. Step 2: Convert to fraction form
    360.16/496.42 = 249.40/x
  3. Step 3: Cross multiply
    360.16x = 496.42 × 249.40
  4. Step 4: Simplify right side
    360.16x = 123,807.15
  5. Step 5: Solve for x
    x = 123,807.15/360.16
  6. Step 6: Final answer
    x = 343.76

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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.