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Finding the Fourth Proportional to 194.14, 291.23 and 78.57

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Solution

The fourth proportional to 194.14, 291.23 and 78.57 is: 117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.14 : 291.23 = 78.57 : x
  2. Step 2: Convert to fraction form
    194.14/291.23 = 78.57/x
  3. Step 3: Cross multiply
    194.14x = 291.23 × 78.57
  4. Step 4: Simplify right side
    194.14x = 22,881.94
  5. Step 5: Solve for x
    x = 22,881.94/194.14
  6. Step 6: Final answer
    x = 117.86

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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.