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Finding the Fourth Proportional to 179.96, 248.38 and 141.08

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Solution

The fourth proportional to 179.96, 248.38 and 141.08 is: 194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.96 : 248.38 = 141.08 : x
  2. Step 2: Convert to fraction form
    179.96/248.38 = 141.08/x
  3. Step 3: Cross multiply
    179.96x = 248.38 × 141.08
  4. Step 4: Simplify right side
    179.96x = 35,040.12
  5. Step 5: Solve for x
    x = 35,040.12/179.96
  6. Step 6: Final answer
    x = 194.71

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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.