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Finding the Fourth Proportional to 179.02, 246.96 and 116.88

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Solution

The fourth proportional to 179.02, 246.96 and 116.88 is: 161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.02 : 246.96 = 116.88 : x
  2. Step 2: Convert to fraction form
    179.02/246.96 = 116.88/x
  3. Step 3: Cross multiply
    179.02x = 246.96 × 116.88
  4. Step 4: Simplify right side
    179.02x = 28,864.68
  5. Step 5: Solve for x
    x = 28,864.68/179.02
  6. Step 6: Final answer
    x = 161.24

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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.