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Finding the Fourth Proportional to 194.19, 267.84 and 141.91

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Solution

The fourth proportional to 194.19, 267.84 and 141.91 is: 195.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.19 : 267.84 = 141.91 : x
  2. Step 2: Convert to fraction form
    194.19/267.84 = 141.91/x
  3. Step 3: Cross multiply
    194.19x = 267.84 × 141.91
  4. Step 4: Simplify right side
    194.19x = 38,009.17
  5. Step 5: Solve for x
    x = 38,009.17/194.19
  6. Step 6: Final answer
    x = 195.73

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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.