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Finding the Fourth Proportional to 165.69, 227.93 and 159.03

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Solution

The fourth proportional to 165.69, 227.93 and 159.03 is: 218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.69 : 227.93 = 159.03 : x
  2. Step 2: Convert to fraction form
    165.69/227.93 = 159.03/x
  3. Step 3: Cross multiply
    165.69x = 227.93 × 159.03
  4. Step 4: Simplify right side
    165.69x = 36,246.91
  5. Step 5: Solve for x
    x = 36,246.91/165.69
  6. Step 6: Final answer
    x = 218.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.