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Finding the Fourth Proportional to 189.14, 284.04 and 124.27

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Solution

The fourth proportional to 189.14, 284.04 and 124.27 is: 186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.14 : 284.04 = 124.27 : x
  2. Step 2: Convert to fraction form
    189.14/284.04 = 124.27/x
  3. Step 3: Cross multiply
    189.14x = 284.04 × 124.27
  4. Step 4: Simplify right side
    189.14x = 35,296.47
  5. Step 5: Solve for x
    x = 35,296.47/189.14
  6. Step 6: Final answer
    x = 186.62

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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.