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Finding the Fourth Proportional to 189.81, 284.73 and 180.09

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Solution

The fourth proportional to 189.81, 284.73 and 180.09 is: 270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.81 : 284.73 = 180.09 : x
  2. Step 2: Convert to fraction form
    189.81/284.73 = 180.09/x
  3. Step 3: Cross multiply
    189.81x = 284.73 × 180.09
  4. Step 4: Simplify right side
    189.81x = 51,277.03
  5. Step 5: Solve for x
    x = 51,277.03/189.81
  6. Step 6: Final answer
    x = 270.15

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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.