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Finding the Fourth Proportional to 189.36, 283.84 and 120.80

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Solution

The fourth proportional to 189.36, 283.84 and 120.80 is: 181.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.36 : 283.84 = 120.80 : x
  2. Step 2: Convert to fraction form
    189.36/283.84 = 120.80/x
  3. Step 3: Cross multiply
    189.36x = 283.84 × 120.80
  4. Step 4: Simplify right side
    189.36x = 34,287.87
  5. Step 5: Solve for x
    x = 34,287.87/189.36
  6. Step 6: Final answer
    x = 181.07

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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.