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Finding the Fourth Proportional to 252.80, 346.59 and 248.17

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Solution

The fourth proportional to 252.80, 346.59 and 248.17 is: 340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.80 : 346.59 = 248.17 : x
  2. Step 2: Convert to fraction form
    252.80/346.59 = 248.17/x
  3. Step 3: Cross multiply
    252.80x = 346.59 × 248.17
  4. Step 4: Simplify right side
    252.80x = 86,013.24
  5. Step 5: Solve for x
    x = 86,013.24/252.80
  6. Step 6: Final answer
    x = 340.24

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Why These Related Problems?

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