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Finding the Fourth Proportional to 179.06, 246.95 and 160.84

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Solution

The fourth proportional to 179.06, 246.95 and 160.84 is: 221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.06 : 246.95 = 160.84 : x
  2. Step 2: Convert to fraction form
    179.06/246.95 = 160.84/x
  3. Step 3: Cross multiply
    179.06x = 246.95 × 160.84
  4. Step 4: Simplify right side
    179.06x = 39,718.16
  5. Step 5: Solve for x
    x = 39,718.16/179.06
  6. Step 6: Final answer
    x = 221.81

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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.