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Finding the Fourth Proportional to 152.08, 227.84 and 79.84

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Solution

The fourth proportional to 152.08, 227.84 and 79.84 is: 119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.08 : 227.84 = 79.84 : x
  2. Step 2: Convert to fraction form
    152.08/227.84 = 79.84/x
  3. Step 3: Cross multiply
    152.08x = 227.84 × 79.84
  4. Step 4: Simplify right side
    152.08x = 18,190.75
  5. Step 5: Solve for x
    x = 18,190.75/152.08
  6. Step 6: Final answer
    x = 119.61

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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.