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Finding the Fourth Proportional to 189.81, 283.23 and 159.44

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Solution

The fourth proportional to 189.81, 283.23 and 159.44 is: 237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.81 : 283.23 = 159.44 : x
  2. Step 2: Convert to fraction form
    189.81/283.23 = 159.44/x
  3. Step 3: Cross multiply
    189.81x = 283.23 × 159.44
  4. Step 4: Simplify right side
    189.81x = 45,156.78
  5. Step 5: Solve for x
    x = 45,156.78/189.81
  6. Step 6: Final answer
    x = 237.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.