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Finding the Fourth Proportional to 248.80, 343.21 and 202.23

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Solution

The fourth proportional to 248.80, 343.21 and 202.23 is: 278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.80 : 343.21 = 202.23 : x
  2. Step 2: Convert to fraction form
    248.80/343.21 = 202.23/x
  3. Step 3: Cross multiply
    248.80x = 343.21 × 202.23
  4. Step 4: Simplify right side
    248.80x = 69,407.36
  5. Step 5: Solve for x
    x = 69,407.36/248.80
  6. Step 6: Final answer
    x = 278.97

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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.