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Finding the Fourth Proportional to 189.47, 284.09 and 112.52

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Solution

The fourth proportional to 189.47, 284.09 and 112.52 is: 168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.47 : 284.09 = 112.52 : x
  2. Step 2: Convert to fraction form
    189.47/284.09 = 112.52/x
  3. Step 3: Cross multiply
    189.47x = 284.09 × 112.52
  4. Step 4: Simplify right side
    189.47x = 31,963.82
  5. Step 5: Solve for x
    x = 31,963.82/189.47
  6. Step 6: Final answer
    x = 168.71

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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.