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Finding the Fourth Proportional to 248.36, 342.78 and 182.78

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Solution

The fourth proportional to 248.36, 342.78 and 182.78 is: 252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.36 : 342.78 = 182.78 : x
  2. Step 2: Convert to fraction form
    248.36/342.78 = 182.78/x
  3. Step 3: Cross multiply
    248.36x = 342.78 × 182.78
  4. Step 4: Simplify right side
    248.36x = 62,653.33
  5. Step 5: Solve for x
    x = 62,653.33/248.36
  6. Step 6: Final answer
    x = 252.27

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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.