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Finding the Fourth Proportional to 194.97, 293.88 and 182.43

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Solution

The fourth proportional to 194.97, 293.88 and 182.43 is: 274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.97 : 293.88 = 182.43 : x
  2. Step 2: Convert to fraction form
    194.97/293.88 = 182.43/x
  3. Step 3: Cross multiply
    194.97x = 293.88 × 182.43
  4. Step 4: Simplify right side
    194.97x = 53,612.53
  5. Step 5: Solve for x
    x = 53,612.53/194.97
  6. Step 6: Final answer
    x = 274.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.