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Finding the Fourth Proportional to 189.64, 284.49 and 180.91

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Solution

The fourth proportional to 189.64, 284.49 and 180.91 is: 271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.64 : 284.49 = 180.91 : x
  2. Step 2: Convert to fraction form
    189.64/284.49 = 180.91/x
  3. Step 3: Cross multiply
    189.64x = 284.49 × 180.91
  4. Step 4: Simplify right side
    189.64x = 51,467.09
  5. Step 5: Solve for x
    x = 51,467.09/189.64
  6. Step 6: Final answer
    x = 271.39

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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.