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Finding the Fourth Proportional to 179.06, 246.96 and 120.02

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Solution

The fourth proportional to 179.06, 246.96 and 120.02 is: 165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.06 : 246.96 = 120.02 : x
  2. Step 2: Convert to fraction form
    179.06/246.96 = 120.02/x
  3. Step 3: Cross multiply
    179.06x = 246.96 × 120.02
  4. Step 4: Simplify right side
    179.06x = 29,638.90
  5. Step 5: Solve for x
    x = 29,638.90/179.06
  6. Step 6: Final answer
    x = 165.53

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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.