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Finding the Fourth Proportional to 249.05, 343.36 and 202.25

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Solution

The fourth proportional to 249.05, 343.36 and 202.25 is: 278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.05 : 343.36 = 202.25 : x
  2. Step 2: Convert to fraction form
    249.05/343.36 = 202.25/x
  3. Step 3: Cross multiply
    249.05x = 343.36 × 202.25
  4. Step 4: Simplify right side
    249.05x = 69,444.56
  5. Step 5: Solve for x
    x = 69,444.56/249.05
  6. Step 6: Final answer
    x = 278.84

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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.