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Finding the Fourth Proportional to 263.66, 394.94 and 212.02

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Solution

The fourth proportional to 263.66, 394.94 and 212.02 is: 317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.66 : 394.94 = 212.02 : x
  2. Step 2: Convert to fraction form
    263.66/394.94 = 212.02/x
  3. Step 3: Cross multiply
    263.66x = 394.94 × 212.02
  4. Step 4: Simplify right side
    263.66x = 83,734.72
  5. Step 5: Solve for x
    x = 83,734.72/263.66
  6. Step 6: Final answer
    x = 317.59

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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.