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Finding the Fourth Proportional to 193.94, 291.14 and 112.84

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Solution

The fourth proportional to 193.94, 291.14 and 112.84 is: 169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.94 : 291.14 = 112.84 : x
  2. Step 2: Convert to fraction form
    193.94/291.14 = 112.84/x
  3. Step 3: Cross multiply
    193.94x = 291.14 × 112.84
  4. Step 4: Simplify right side
    193.94x = 32,853.64
  5. Step 5: Solve for x
    x = 32,853.64/193.94
  6. Step 6: Final answer
    x = 169.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.