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Finding the Fourth Proportional to 189.71, 284.63 and 116.73

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Solution

The fourth proportional to 189.71, 284.63 and 116.73 is: 175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.71 : 284.63 = 116.73 : x
  2. Step 2: Convert to fraction form
    189.71/284.63 = 116.73/x
  3. Step 3: Cross multiply
    189.71x = 284.63 × 116.73
  4. Step 4: Simplify right side
    189.71x = 33,224.86
  5. Step 5: Solve for x
    x = 33,224.86/189.71
  6. Step 6: Final answer
    x = 175.13

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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.