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Finding the Fourth Proportional to 189.14, 283.48 and 110.91

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Solution

The fourth proportional to 189.14, 283.48 and 110.91 is: 166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.14 : 283.48 = 110.91 : x
  2. Step 2: Convert to fraction form
    189.14/283.48 = 110.91/x
  3. Step 3: Cross multiply
    189.14x = 283.48 × 110.91
  4. Step 4: Simplify right side
    189.14x = 31,440.77
  5. Step 5: Solve for x
    x = 31,440.77/189.14
  6. Step 6: Final answer
    x = 166.23

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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.