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Finding the Fourth Proportional to 194.06, 267.69 and 120.35

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Solution

The fourth proportional to 194.06, 267.69 and 120.35 is: 166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.06 : 267.69 = 120.35 : x
  2. Step 2: Convert to fraction form
    194.06/267.69 = 120.35/x
  3. Step 3: Cross multiply
    194.06x = 267.69 × 120.35
  4. Step 4: Simplify right side
    194.06x = 32,216.49
  5. Step 5: Solve for x
    x = 32,216.49/194.06
  6. Step 6: Final answer
    x = 166.01

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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.