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Finding the Fourth Proportional to 248.88, 343.08 and 213.84

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Solution

The fourth proportional to 248.88, 343.08 and 213.84 is: 294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.88 : 343.08 = 213.84 : x
  2. Step 2: Convert to fraction form
    248.88/343.08 = 213.84/x
  3. Step 3: Cross multiply
    248.88x = 343.08 × 213.84
  4. Step 4: Simplify right side
    248.88x = 73,364.23
  5. Step 5: Solve for x
    x = 73,364.23/248.88
  6. Step 6: Final answer
    x = 294.78

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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.