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Finding the Fourth Proportional to 189.35, 284.02 and 120.80

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Solution

The fourth proportional to 189.35, 284.02 and 120.80 is: 181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.35 : 284.02 = 120.80 : x
  2. Step 2: Convert to fraction form
    189.35/284.02 = 120.80/x
  3. Step 3: Cross multiply
    189.35x = 284.02 × 120.80
  4. Step 4: Simplify right side
    189.35x = 34,309.01
  5. Step 5: Solve for x
    x = 34,309.01/189.35
  6. Step 6: Final answer
    x = 181.20

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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.