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Finding the Fourth Proportional to 165.28, 226.76 and 157.12

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Solution

The fourth proportional to 165.28, 226.76 and 157.12 is: 215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.28 : 226.76 = 157.12 : x
  2. Step 2: Convert to fraction form
    165.28/226.76 = 157.12/x
  3. Step 3: Cross multiply
    165.28x = 226.76 × 157.12
  4. Step 4: Simplify right side
    165.28x = 35,628.53
  5. Step 5: Solve for x
    x = 35,628.53/165.28
  6. Step 6: Final answer
    x = 215.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.