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Finding the Fourth Proportional to 165.98, 229.30 and 116.78

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Solution

The fourth proportional to 165.98, 229.30 and 116.78 is: 161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.98 : 229.30 = 116.78 : x
  2. Step 2: Convert to fraction form
    165.98/229.30 = 116.78/x
  3. Step 3: Cross multiply
    165.98x = 229.30 × 116.78
  4. Step 4: Simplify right side
    165.98x = 26,776.22
  5. Step 5: Solve for x
    x = 26,776.22/165.98
  6. Step 6: Final answer
    x = 161.32

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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.