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Finding the Fourth Proportional to 189.49, 283.73 and 112.08

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Solution

The fourth proportional to 189.49, 283.73 and 112.08 is: 167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.49 : 283.73 = 112.08 : x
  2. Step 2: Convert to fraction form
    189.49/283.73 = 112.08/x
  3. Step 3: Cross multiply
    189.49x = 283.73 × 112.08
  4. Step 4: Simplify right side
    189.49x = 31,801.28
  5. Step 5: Solve for x
    x = 31,801.28/189.49
  6. Step 6: Final answer
    x = 167.83

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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.