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Finding the Fourth Proportional to 165.12, 228.24 and 126.48

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Solution

The fourth proportional to 165.12, 228.24 and 126.48 is: 174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.12 : 228.24 = 126.48 : x
  2. Step 2: Convert to fraction form
    165.12/228.24 = 126.48/x
  3. Step 3: Cross multiply
    165.12x = 228.24 × 126.48
  4. Step 4: Simplify right side
    165.12x = 28,867.80
  5. Step 5: Solve for x
    x = 28,867.80/165.12
  6. Step 6: Final answer
    x = 174.83

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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.