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Finding the Fourth Proportional to 189.85, 284.57 and 80.22

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Solution

The fourth proportional to 189.85, 284.57 and 80.22 is: 120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.85 : 284.57 = 80.22 : x
  2. Step 2: Convert to fraction form
    189.85/284.57 = 80.22/x
  3. Step 3: Cross multiply
    189.85x = 284.57 × 80.22
  4. Step 4: Simplify right side
    189.85x = 22,829.12
  5. Step 5: Solve for x
    x = 22,829.12/189.85
  6. Step 6: Final answer
    x = 120.25

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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.