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Finding the Fourth Proportional to 179.33, 246.65 and 166.77

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Solution

The fourth proportional to 179.33, 246.65 and 166.77 is: 229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.33 : 246.65 = 166.77 : x
  2. Step 2: Convert to fraction form
    179.33/246.65 = 166.77/x
  3. Step 3: Cross multiply
    179.33x = 246.65 × 166.77
  4. Step 4: Simplify right side
    179.33x = 41,132.99
  5. Step 5: Solve for x
    x = 41,132.99/179.33
  6. Step 6: Final answer
    x = 229.38

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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.