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Finding the Fourth Proportional to 165.04, 228.96 and 163.44

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Solution

The fourth proportional to 165.04, 228.96 and 163.44 is: 226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.04 : 228.96 = 163.44 : x
  2. Step 2: Convert to fraction form
    165.04/228.96 = 163.44/x
  3. Step 3: Cross multiply
    165.04x = 228.96 × 163.44
  4. Step 4: Simplify right side
    165.04x = 37,421.22
  5. Step 5: Solve for x
    x = 37,421.22/165.04
  6. Step 6: Final answer
    x = 226.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.