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Finding the Fourth Proportional to 165.24, 227.88 and 109.31

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Solution

The fourth proportional to 165.24, 227.88 and 109.31 is: 150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.24 : 227.88 = 109.31 : x
  2. Step 2: Convert to fraction form
    165.24/227.88 = 109.31/x
  3. Step 3: Cross multiply
    165.24x = 227.88 × 109.31
  4. Step 4: Simplify right side
    165.24x = 24,908.42
  5. Step 5: Solve for x
    x = 24,908.42/165.24
  6. Step 6: Final answer
    x = 150.74

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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.