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Finding the Fourth Proportional to 249.93, 344.43 and 179.88

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Solution

The fourth proportional to 249.93, 344.43 and 179.88 is: 247.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.93 : 344.43 = 179.88 : x
  2. Step 2: Convert to fraction form
    249.93/344.43 = 179.88/x
  3. Step 3: Cross multiply
    249.93x = 344.43 × 179.88
  4. Step 4: Simplify right side
    249.93x = 61,956.07
  5. Step 5: Solve for x
    x = 61,956.07/249.93
  6. Step 6: Final answer
    x = 247.89

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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.