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Finding the Fourth Proportional to 179.93, 248.05 and 120.82

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Solution

The fourth proportional to 179.93, 248.05 and 120.82 is: 166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.93 : 248.05 = 120.82 : x
  2. Step 2: Convert to fraction form
    179.93/248.05 = 120.82/x
  3. Step 3: Cross multiply
    179.93x = 248.05 × 120.82
  4. Step 4: Simplify right side
    179.93x = 29,968.53
  5. Step 5: Solve for x
    x = 29,968.53/179.93
  6. Step 6: Final answer
    x = 166.55

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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.