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Finding the Fourth Proportional to 194, 267.83 and 124.11

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Solution

The fourth proportional to 194, 267.83 and 124.11 is: 171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194 : 267.83 = 124.11 : x
  2. Step 2: Convert to fraction form
    194/267.83 = 124.11/x
  3. Step 3: Cross multiply
    194x = 267.83 × 124.11
  4. Step 4: Simplify right side
    194x = 33,240.38
  5. Step 5: Solve for x
    x = 33,240.38/194
  6. Step 6: Final answer
    x = 171.34

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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.