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Finding the Fourth Proportional to 249.24, 375.76 and 236.02

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Solution

The fourth proportional to 249.24, 375.76 and 236.02 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.24 : 375.76 = 236.02 : x
  2. Step 2: Convert to fraction form
    249.24/375.76 = 236.02/x
  3. Step 3: Cross multiply
    249.24x = 375.76 × 236.02
  4. Step 4: Simplify right side
    249.24x = 88,685.70
  5. Step 5: Solve for x
    x = 88,685.70/249.24
  6. Step 6: Final answer
    x = 355.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.