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Finding the Fourth Proportional to 194.89, 292.34 and 103.77

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Solution

The fourth proportional to 194.89, 292.34 and 103.77 is: 155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.89 : 292.34 = 103.77 : x
  2. Step 2: Convert to fraction form
    194.89/292.34 = 103.77/x
  3. Step 3: Cross multiply
    194.89x = 292.34 × 103.77
  4. Step 4: Simplify right side
    194.89x = 30,335.75
  5. Step 5: Solve for x
    x = 30,335.75/194.89
  6. Step 6: Final answer
    x = 155.65

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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.