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Finding the Fourth Proportional to 179.86, 268.47 and 166.48

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Solution

The fourth proportional to 179.86, 268.47 and 166.48 is: 248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.86 : 268.47 = 166.48 : x
  2. Step 2: Convert to fraction form
    179.86/268.47 = 166.48/x
  3. Step 3: Cross multiply
    179.86x = 268.47 × 166.48
  4. Step 4: Simplify right side
    179.86x = 44,694.89
  5. Step 5: Solve for x
    x = 44,694.89/179.86
  6. Step 6: Final answer
    x = 248.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.