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Finding the Fourth Proportional to 189, 283.26 and 97.71

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Solution

The fourth proportional to 189, 283.26 and 97.71 is: 146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189 : 283.26 = 97.71 : x
  2. Step 2: Convert to fraction form
    189/283.26 = 97.71/x
  3. Step 3: Cross multiply
    189x = 283.26 × 97.71
  4. Step 4: Simplify right side
    189x = 27,677.33
  5. Step 5: Solve for x
    x = 27,677.33/189
  6. Step 6: Final answer
    x = 146.44

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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.