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Finding the Fourth Proportional to 263.49, 362.46 and 214.26

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Solution

The fourth proportional to 263.49, 362.46 and 214.26 is: 294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.49 : 362.46 = 214.26 : x
  2. Step 2: Convert to fraction form
    263.49/362.46 = 214.26/x
  3. Step 3: Cross multiply
    263.49x = 362.46 × 214.26
  4. Step 4: Simplify right side
    263.49x = 77,660.68
  5. Step 5: Solve for x
    x = 77,660.68/263.49
  6. Step 6: Final answer
    x = 294.74

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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.