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Finding the Fourth Proportional to 193.68, 267.12 and 164.88

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Solution

The fourth proportional to 193.68, 267.12 and 164.88 is: 227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.68 : 267.12 = 164.88 : x
  2. Step 2: Convert to fraction form
    193.68/267.12 = 164.88/x
  3. Step 3: Cross multiply
    193.68x = 267.12 × 164.88
  4. Step 4: Simplify right side
    193.68x = 44,042.75
  5. Step 5: Solve for x
    x = 44,042.75/193.68
  6. Step 6: Final answer
    x = 227.40

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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.