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Finding the Fourth Proportional to 252.78, 346.56 and 248.17

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Solution

The fourth proportional to 252.78, 346.56 and 248.17 is: 340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.78 : 346.56 = 248.17 : x
  2. Step 2: Convert to fraction form
    252.78/346.56 = 248.17/x
  3. Step 3: Cross multiply
    252.78x = 346.56 × 248.17
  4. Step 4: Simplify right side
    252.78x = 86,004.84
  5. Step 5: Solve for x
    x = 86,004.84/252.78
  6. Step 6: Final answer
    x = 340.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.