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Finding the Fourth Proportional to 310.91, 429.22 and 192.92

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Solution

The fourth proportional to 310.91, 429.22 and 192.92 is: 266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.91 : 429.22 = 192.92 : x
  2. Step 2: Convert to fraction form
    310.91/429.22 = 192.92/x
  3. Step 3: Cross multiply
    310.91x = 429.22 × 192.92
  4. Step 4: Simplify right side
    310.91x = 82,805.12
  5. Step 5: Solve for x
    x = 82,805.12/310.91
  6. Step 6: Final answer
    x = 266.33

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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.