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Finding the Fourth Proportional to 248.88, 343.56 and 231.60

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Solution

The fourth proportional to 248.88, 343.56 and 231.60 is: 319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.88 : 343.56 = 231.60 : x
  2. Step 2: Convert to fraction form
    248.88/343.56 = 231.60/x
  3. Step 3: Cross multiply
    248.88x = 343.56 × 231.60
  4. Step 4: Simplify right side
    248.88x = 79,568.50
  5. Step 5: Solve for x
    x = 79,568.50/248.88
  6. Step 6: Final answer
    x = 319.71

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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.