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Finding the Fourth Proportional to 189.73, 284.93 and 159.69

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Solution

The fourth proportional to 189.73, 284.93 and 159.69 is: 239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.73 : 284.93 = 159.69 : x
  2. Step 2: Convert to fraction form
    189.73/284.93 = 159.69/x
  3. Step 3: Cross multiply
    189.73x = 284.93 × 159.69
  4. Step 4: Simplify right side
    189.73x = 45,500.47
  5. Step 5: Solve for x
    x = 45,500.47/189.73
  6. Step 6: Final answer
    x = 239.82

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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.