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Finding the Fourth Proportional to 194.44, 293.95 and 194.44

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Solution

The fourth proportional to 194.44, 293.95 and 194.44 is: 293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.44 : 293.95 = 194.44 : x
  2. Step 2: Convert to fraction form
    194.44/293.95 = 194.44/x
  3. Step 3: Cross multiply
    194.44x = 293.95 × 194.44
  4. Step 4: Simplify right side
    194.44x = 57,155.64
  5. Step 5: Solve for x
    x = 57,155.64/194.44
  6. Step 6: Final answer
    x = 293.95

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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.