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Finding the Fourth Proportional to 179.91, 248.09 and 166.95

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Solution

The fourth proportional to 179.91, 248.09 and 166.95 is: 230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.91 : 248.09 = 166.95 : x
  2. Step 2: Convert to fraction form
    179.91/248.09 = 166.95/x
  3. Step 3: Cross multiply
    179.91x = 248.09 × 166.95
  4. Step 4: Simplify right side
    179.91x = 41,417.79
  5. Step 5: Solve for x
    x = 41,417.79/179.91
  6. Step 6: Final answer
    x = 230.21

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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.