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Finding the Fourth Proportional to 249.51, 344.04 and 204.51

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Solution

The fourth proportional to 249.51, 344.04 and 204.51 is: 281.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.51 : 344.04 = 204.51 : x
  2. Step 2: Convert to fraction form
    249.51/344.04 = 204.51/x
  3. Step 3: Cross multiply
    249.51x = 344.04 × 204.51
  4. Step 4: Simplify right side
    249.51x = 70,357.90
  5. Step 5: Solve for x
    x = 70,357.90/249.51
  6. Step 6: Final answer
    x = 281.99

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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.