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Finding the Fourth Proportional to 248.69, 343.20 and 138.17

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Solution

The fourth proportional to 248.69, 343.20 and 138.17 is: 190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.69 : 343.20 = 138.17 : x
  2. Step 2: Convert to fraction form
    248.69/343.20 = 138.17/x
  3. Step 3: Cross multiply
    248.69x = 343.20 × 138.17
  4. Step 4: Simplify right side
    248.69x = 47,418.74
  5. Step 5: Solve for x
    x = 47,418.74/248.69
  6. Step 6: Final answer
    x = 190.68

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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.