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Finding the Fourth Proportional to 248.47, 343.54 and 182.86

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Solution

The fourth proportional to 248.47, 343.54 and 182.86 is: 252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.47 : 343.54 = 182.86 : x
  2. Step 2: Convert to fraction form
    248.47/343.54 = 182.86/x
  3. Step 3: Cross multiply
    248.47x = 343.54 × 182.86
  4. Step 4: Simplify right side
    248.47x = 62,819.09
  5. Step 5: Solve for x
    x = 62,819.09/248.47
  6. Step 6: Final answer
    x = 252.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.