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Finding the Fourth Proportional to 165.19, 227.80 and 109.11

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Solution

The fourth proportional to 165.19, 227.80 and 109.11 is: 150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.19 : 227.80 = 109.11 : x
  2. Step 2: Convert to fraction form
    165.19/227.80 = 109.11/x
  3. Step 3: Cross multiply
    165.19x = 227.80 × 109.11
  4. Step 4: Simplify right side
    165.19x = 24,854.71
  5. Step 5: Solve for x
    x = 24,854.71/165.19
  6. Step 6: Final answer
    x = 150.47

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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.