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Finding the Fourth Proportional to 179.97, 248.38 and 100.22

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Solution

The fourth proportional to 179.97, 248.38 and 100.22 is: 138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.97 : 248.38 = 100.22 : x
  2. Step 2: Convert to fraction form
    179.97/248.38 = 100.22/x
  3. Step 3: Cross multiply
    179.97x = 248.38 × 100.22
  4. Step 4: Simplify right side
    179.97x = 24,892.64
  5. Step 5: Solve for x
    x = 24,892.64/179.97
  6. Step 6: Final answer
    x = 138.32

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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.