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Finding the Fourth Proportional to 227.52, 313.04 and 194.64

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Solution

The fourth proportional to 227.52, 313.04 and 194.64 is: 267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.52 : 313.04 = 194.64 : x
  2. Step 2: Convert to fraction form
    227.52/313.04 = 194.64/x
  3. Step 3: Cross multiply
    227.52x = 313.04 × 194.64
  4. Step 4: Simplify right side
    227.52x = 60,930.11
  5. Step 5: Solve for x
    x = 60,930.11/227.52
  6. Step 6: Final answer
    x = 267.80

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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.