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Finding the Fourth Proportional to 249.95, 344.92 and 139.42

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Solution

The fourth proportional to 249.95, 344.92 and 139.42 is: 192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.95 : 344.92 = 139.42 : x
  2. Step 2: Convert to fraction form
    249.95/344.92 = 139.42/x
  3. Step 3: Cross multiply
    249.95x = 344.92 × 139.42
  4. Step 4: Simplify right side
    249.95x = 48,089.09
  5. Step 5: Solve for x
    x = 48,089.09/249.95
  6. Step 6: Final answer
    x = 192.40

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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.