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Finding the Fourth Proportional to 249.72, 342.12 and 249

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Solution

The fourth proportional to 249.72, 342.12 and 249 is: 341.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.72 : 342.12 = 249 : x
  2. Step 2: Convert to fraction form
    249.72/342.12 = 249/x
  3. Step 3: Cross multiply
    249.72x = 342.12 × 249
  4. Step 4: Simplify right side
    249.72x = 85,187.88
  5. Step 5: Solve for x
    x = 85,187.88/249.72
  6. Step 6: Final answer
    x = 341.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.