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Finding the Fourth Proportional to 194.23, 267.66 and 165.07

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Solution

The fourth proportional to 194.23, 267.66 and 165.07 is: 227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.23 : 267.66 = 165.07 : x
  2. Step 2: Convert to fraction form
    194.23/267.66 = 165.07/x
  3. Step 3: Cross multiply
    194.23x = 267.66 × 165.07
  4. Step 4: Simplify right side
    194.23x = 44,182.64
  5. Step 5: Solve for x
    x = 44,182.64/194.23
  6. Step 6: Final answer
    x = 227.48

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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.