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Finding the Fourth Proportional to 179.84, 248.27 and 114.44

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Solution

The fourth proportional to 179.84, 248.27 and 114.44 is: 157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.84 : 248.27 = 114.44 : x
  2. Step 2: Convert to fraction form
    179.84/248.27 = 114.44/x
  3. Step 3: Cross multiply
    179.84x = 248.27 × 114.44
  4. Step 4: Simplify right side
    179.84x = 28,410.21
  5. Step 5: Solve for x
    x = 28,410.21/179.84
  6. Step 6: Final answer
    x = 157.97

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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.