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Finding the Fourth Proportional to 194.03, 267.85 and 135.11

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Solution

The fourth proportional to 194.03, 267.85 and 135.11 is: 186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.03 : 267.85 = 135.11 : x
  2. Step 2: Convert to fraction form
    194.03/267.85 = 135.11/x
  3. Step 3: Cross multiply
    194.03x = 267.85 × 135.11
  4. Step 4: Simplify right side
    194.03x = 36,189.21
  5. Step 5: Solve for x
    x = 36,189.21/194.03
  6. Step 6: Final answer
    x = 186.51

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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.