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Finding the Fourth Proportional to 179.13, 246.81 and 120.81

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Solution

The fourth proportional to 179.13, 246.81 and 120.81 is: 166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.13 : 246.81 = 120.81 : x
  2. Step 2: Convert to fraction form
    179.13/246.81 = 120.81/x
  3. Step 3: Cross multiply
    179.13x = 246.81 × 120.81
  4. Step 4: Simplify right side
    179.13x = 29,816.19
  5. Step 5: Solve for x
    x = 29,816.19/179.13
  6. Step 6: Final answer
    x = 166.45

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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.