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Finding the Fourth Proportional to 189.69, 284.33 and 80.06

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Solution

The fourth proportional to 189.69, 284.33 and 80.06 is: 119.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.69 : 284.33 = 80.06 : x
  2. Step 2: Convert to fraction form
    189.69/284.33 = 80.06/x
  3. Step 3: Cross multiply
    189.69x = 284.33 × 80.06
  4. Step 4: Simplify right side
    189.69x = 22,761.64
  5. Step 5: Solve for x
    x = 22,761.64/189.69
  6. Step 6: Final answer
    x = 119.99

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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.