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Finding the Fourth Proportional to 248.68, 343.15 and 150.42

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Solution

The fourth proportional to 248.68, 343.15 and 150.42 is: 207.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.68 : 343.15 = 150.42 : x
  2. Step 2: Convert to fraction form
    248.68/343.15 = 150.42/x
  3. Step 3: Cross multiply
    248.68x = 343.15 × 150.42
  4. Step 4: Simplify right side
    248.68x = 51,616.62
  5. Step 5: Solve for x
    x = 51,616.62/248.68
  6. Step 6: Final answer
    x = 207.56

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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.