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Finding the Fourth Proportional to 263.23, 394.80 and 212.17

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Solution

The fourth proportional to 263.23, 394.80 and 212.17 is: 318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.23 : 394.80 = 212.17 : x
  2. Step 2: Convert to fraction form
    263.23/394.80 = 212.17/x
  3. Step 3: Cross multiply
    263.23x = 394.80 × 212.17
  4. Step 4: Simplify right side
    263.23x = 83,763.66
  5. Step 5: Solve for x
    x = 83,763.66/263.23
  6. Step 6: Final answer
    x = 318.21

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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.