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Finding the Fourth Proportional to 254.96, 349.75 and 248.20

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Solution

The fourth proportional to 254.96, 349.75 and 248.20 is: 340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.96 : 349.75 = 248.20 : x
  2. Step 2: Convert to fraction form
    254.96/349.75 = 248.20/x
  3. Step 3: Cross multiply
    254.96x = 349.75 × 248.20
  4. Step 4: Simplify right side
    254.96x = 86,807.95
  5. Step 5: Solve for x
    x = 86,807.95/254.96
  6. Step 6: Final answer
    x = 340.48

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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.