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Finding the Fourth Proportional to 194.23, 267.09 and 166.48

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Solution

The fourth proportional to 194.23, 267.09 and 166.48 is: 228.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.23 : 267.09 = 166.48 : x
  2. Step 2: Convert to fraction form
    194.23/267.09 = 166.48/x
  3. Step 3: Cross multiply
    194.23x = 267.09 × 166.48
  4. Step 4: Simplify right side
    194.23x = 44,465.14
  5. Step 5: Solve for x
    x = 44,465.14/194.23
  6. Step 6: Final answer
    x = 228.93

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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.