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Finding the Fourth Proportional to 194.32, 291.46 and 78.82

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Solution

The fourth proportional to 194.32, 291.46 and 78.82 is: 118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.32 : 291.46 = 78.82 : x
  2. Step 2: Convert to fraction form
    194.32/291.46 = 78.82/x
  3. Step 3: Cross multiply
    194.32x = 291.46 × 78.82
  4. Step 4: Simplify right side
    194.32x = 22,972.88
  5. Step 5: Solve for x
    x = 22,972.88/194.32
  6. Step 6: Final answer
    x = 118.22

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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.