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Finding the Fourth Proportional to 189.66, 284.04 and 180.86

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Solution

The fourth proportional to 189.66, 284.04 and 180.86 is: 270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.66 : 284.04 = 180.86 : x
  2. Step 2: Convert to fraction form
    189.66/284.04 = 180.86/x
  3. Step 3: Cross multiply
    189.66x = 284.04 × 180.86
  4. Step 4: Simplify right side
    189.66x = 51,370.05
  5. Step 5: Solve for x
    x = 51,370.05/189.66
  6. Step 6: Final answer
    x = 270.85

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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.