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Finding the Fourth Proportional to 189, 283.71 and 112.02

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Solution

The fourth proportional to 189, 283.71 and 112.02 is: 168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189 : 283.71 = 112.02 : x
  2. Step 2: Convert to fraction form
    189/283.71 = 112.02/x
  3. Step 3: Cross multiply
    189x = 283.71 × 112.02
  4. Step 4: Simplify right side
    189x = 31,781.19
  5. Step 5: Solve for x
    x = 31,781.19/189
  6. Step 6: Final answer
    x = 168.15

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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.