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Finding the Fourth Proportional to 312.11, 430.64 and 194.03

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Solution

The fourth proportional to 312.11, 430.64 and 194.03 is: 267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.11 : 430.64 = 194.03 : x
  2. Step 2: Convert to fraction form
    312.11/430.64 = 194.03/x
  3. Step 3: Cross multiply
    312.11x = 430.64 × 194.03
  4. Step 4: Simplify right side
    312.11x = 83,556.11
  5. Step 5: Solve for x
    x = 83,556.11/312.11
  6. Step 6: Final answer
    x = 267.71

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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.