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Finding the Fourth Proportional to 248.59, 343.01 and 138.05

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Solution

The fourth proportional to 248.59, 343.01 and 138.05 is: 190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.59 : 343.01 = 138.05 : x
  2. Step 2: Convert to fraction form
    248.59/343.01 = 138.05/x
  3. Step 3: Cross multiply
    248.59x = 343.01 × 138.05
  4. Step 4: Simplify right side
    248.59x = 47,353.73
  5. Step 5: Solve for x
    x = 47,353.73/248.59
  6. Step 6: Final answer
    x = 190.49

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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.