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Finding the Fourth Proportional to 179.75, 248.09 and 114.23

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Solution

The fourth proportional to 179.75, 248.09 and 114.23 is: 157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.75 : 248.09 = 114.23 : x
  2. Step 2: Convert to fraction form
    179.75/248.09 = 114.23/x
  3. Step 3: Cross multiply
    179.75x = 248.09 × 114.23
  4. Step 4: Simplify right side
    179.75x = 28,339.37
  5. Step 5: Solve for x
    x = 28,339.37/179.75
  6. Step 6: Final answer
    x = 157.66

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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.