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Finding the Fourth Proportional to 310.24, 427.92 and 193.68

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Solution

The fourth proportional to 310.24, 427.92 and 193.68 is: 267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.24 : 427.92 = 193.68 : x
  2. Step 2: Convert to fraction form
    310.24/427.92 = 193.68/x
  3. Step 3: Cross multiply
    310.24x = 427.92 × 193.68
  4. Step 4: Simplify right side
    310.24x = 82,879.55
  5. Step 5: Solve for x
    x = 82,879.55/310.24
  6. Step 6: Final answer
    x = 267.15

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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.