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Finding the Fourth Proportional to 249.81, 344.77 and 180.10

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Solution

The fourth proportional to 249.81, 344.77 and 180.10 is: 248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.81 : 344.77 = 180.10 : x
  2. Step 2: Convert to fraction form
    249.81/344.77 = 180.10/x
  3. Step 3: Cross multiply
    249.81x = 344.77 × 180.10
  4. Step 4: Simplify right side
    249.81x = 62,093.08
  5. Step 5: Solve for x
    x = 62,093.08/249.81
  6. Step 6: Final answer
    x = 248.56

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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.