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Finding the Fourth Proportional to 165.39, 228.36 and 116.31

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Solution

The fourth proportional to 165.39, 228.36 and 116.31 is: 160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.39 : 228.36 = 116.31 : x
  2. Step 2: Convert to fraction form
    165.39/228.36 = 116.31/x
  3. Step 3: Cross multiply
    165.39x = 228.36 × 116.31
  4. Step 4: Simplify right side
    165.39x = 26,560.55
  5. Step 5: Solve for x
    x = 26,560.55/165.39
  6. Step 6: Final answer
    x = 160.59

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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.