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Finding the Fourth Proportional to 165.68, 226.64 and 165.24

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Solution

The fourth proportional to 165.68, 226.64 and 165.24 is: 226.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.68 : 226.64 = 165.24 : x
  2. Step 2: Convert to fraction form
    165.68/226.64 = 165.24/x
  3. Step 3: Cross multiply
    165.68x = 226.64 × 165.24
  4. Step 4: Simplify right side
    165.68x = 37,449.99
  5. Step 5: Solve for x
    x = 37,449.99/165.68
  6. Step 6: Final answer
    x = 226.04

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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.