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Finding the Fourth Proportional to 194.23, 268.03 and 106.89

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Solution

The fourth proportional to 194.23, 268.03 and 106.89 is: 147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.23 : 268.03 = 106.89 : x
  2. Step 2: Convert to fraction form
    194.23/268.03 = 106.89/x
  3. Step 3: Cross multiply
    194.23x = 268.03 × 106.89
  4. Step 4: Simplify right side
    194.23x = 28,647.85
  5. Step 5: Solve for x
    x = 28,647.85/194.23
  6. Step 6: Final answer
    x = 147.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.