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Finding the Fourth Proportional to 194.06, 267.71 and 135.19

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Solution

The fourth proportional to 194.06, 267.71 and 135.19 is: 186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.06 : 267.71 = 135.19 : x
  2. Step 2: Convert to fraction form
    194.06/267.71 = 135.19/x
  3. Step 3: Cross multiply
    194.06x = 267.71 × 135.19
  4. Step 4: Simplify right side
    194.06x = 36,191.38
  5. Step 5: Solve for x
    x = 36,191.38/194.06
  6. Step 6: Final answer
    x = 186.50

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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.