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Finding the Fourth Proportional to 228.20, 342.39 and 119.84

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Solution

The fourth proportional to 228.20, 342.39 and 119.84 is: 179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.20 : 342.39 = 119.84 : x
  2. Step 2: Convert to fraction form
    228.20/342.39 = 119.84/x
  3. Step 3: Cross multiply
    228.20x = 342.39 × 119.84
  4. Step 4: Simplify right side
    228.20x = 41,032.02
  5. Step 5: Solve for x
    x = 41,032.02/228.20
  6. Step 6: Final answer
    x = 179.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.