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Finding the Fourth Proportional to 179.75, 248.13 and 121.64

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Solution

The fourth proportional to 179.75, 248.13 and 121.64 is: 167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.75 : 248.13 = 121.64 : x
  2. Step 2: Convert to fraction form
    179.75/248.13 = 121.64/x
  3. Step 3: Cross multiply
    179.75x = 248.13 × 121.64
  4. Step 4: Simplify right side
    179.75x = 30,181.29
  5. Step 5: Solve for x
    x = 30,181.29/179.75
  6. Step 6: Final answer
    x = 167.90

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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.