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Finding the Fourth Proportional to 249.26, 344.02 and 145.76

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Solution

The fourth proportional to 249.26, 344.02 and 145.76 is: 201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.26 : 344.02 = 145.76 : x
  2. Step 2: Convert to fraction form
    249.26/344.02 = 145.76/x
  3. Step 3: Cross multiply
    249.26x = 344.02 × 145.76
  4. Step 4: Simplify right side
    249.26x = 50,144.36
  5. Step 5: Solve for x
    x = 50,144.36/249.26
  6. Step 6: Final answer
    x = 201.17

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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.