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Finding the Fourth Proportional to 248.56, 343.10 and 199.35

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Solution

The fourth proportional to 248.56, 343.10 and 199.35 is: 275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.56 : 343.10 = 199.35 : x
  2. Step 2: Convert to fraction form
    248.56/343.10 = 199.35/x
  3. Step 3: Cross multiply
    248.56x = 343.10 × 199.35
  4. Step 4: Simplify right side
    248.56x = 68,396.99
  5. Step 5: Solve for x
    x = 68,396.99/248.56
  6. Step 6: Final answer
    x = 275.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.