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Finding the Fourth Proportional to 189.45, 284.46 and 180.17

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Solution

The fourth proportional to 189.45, 284.46 and 180.17 is: 270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.45 : 284.46 = 180.17 : x
  2. Step 2: Convert to fraction form
    189.45/284.46 = 180.17/x
  3. Step 3: Cross multiply
    189.45x = 284.46 × 180.17
  4. Step 4: Simplify right side
    189.45x = 51,249.06
  5. Step 5: Solve for x
    x = 51,249.06/189.45
  6. Step 6: Final answer
    x = 270.52

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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.