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Finding the Fourth Proportional to 248.81, 343.34 and 138.29

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Solution

The fourth proportional to 248.81, 343.34 and 138.29 is: 190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.81 : 343.34 = 138.29 : x
  2. Step 2: Convert to fraction form
    248.81/343.34 = 138.29/x
  3. Step 3: Cross multiply
    248.81x = 343.34 × 138.29
  4. Step 4: Simplify right side
    248.81x = 47,478.08
  5. Step 5: Solve for x
    x = 47,478.08/248.81
  6. Step 6: Final answer
    x = 190.82

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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.