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Finding the Fourth Proportional to 263.02, 394.29 and 204.92

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Solution

The fourth proportional to 263.02, 394.29 and 204.92 is: 307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.02 : 394.29 = 204.92 : x
  2. Step 2: Convert to fraction form
    263.02/394.29 = 204.92/x
  3. Step 3: Cross multiply
    263.02x = 394.29 × 204.92
  4. Step 4: Simplify right side
    263.02x = 80,797.91
  5. Step 5: Solve for x
    x = 80,797.91/263.02
  6. Step 6: Final answer
    x = 307.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.