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Finding the Fourth Proportional to 189.05, 283.56 and 111

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Solution

The fourth proportional to 189.05, 283.56 and 111 is: 166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.05 : 283.56 = 111 : x
  2. Step 2: Convert to fraction form
    189.05/283.56 = 111/x
  3. Step 3: Cross multiply
    189.05x = 283.56 × 111
  4. Step 4: Simplify right side
    189.05x = 31,475.16
  5. Step 5: Solve for x
    x = 31,475.16/189.05
  6. Step 6: Final answer
    x = 166.50

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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.