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Finding the Fourth Proportional to 194.52, 268.14 and 165

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Solution

The fourth proportional to 194.52, 268.14 and 165 is: 227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.52 : 268.14 = 165 : x
  2. Step 2: Convert to fraction form
    194.52/268.14 = 165/x
  3. Step 3: Cross multiply
    194.52x = 268.14 × 165
  4. Step 4: Simplify right side
    194.52x = 44,243.10
  5. Step 5: Solve for x
    x = 44,243.10/194.52
  6. Step 6: Final answer
    x = 227.45

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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.