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Finding the Fourth Proportional to 165.22, 228.03 and 95.27

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Solution

The fourth proportional to 165.22, 228.03 and 95.27 is: 131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.22 : 228.03 = 95.27 : x
  2. Step 2: Convert to fraction form
    165.22/228.03 = 95.27/x
  3. Step 3: Cross multiply
    165.22x = 228.03 × 95.27
  4. Step 4: Simplify right side
    165.22x = 21,725.35
  5. Step 5: Solve for x
    x = 21,725.35/165.22
  6. Step 6: Final answer
    x = 131.49

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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.