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Finding the Fourth Proportional to 165.22, 228.06 and 116.11

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Solution

The fourth proportional to 165.22, 228.06 and 116.11 is: 160.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.22 : 228.06 = 116.11 : x
  2. Step 2: Convert to fraction form
    165.22/228.06 = 116.11/x
  3. Step 3: Cross multiply
    165.22x = 228.06 × 116.11
  4. Step 4: Simplify right side
    165.22x = 26,480.05
  5. Step 5: Solve for x
    x = 26,480.05/165.22
  6. Step 6: Final answer
    x = 160.27

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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.