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Finding the Fourth Proportional to 209.56, 289.18 and 116.31

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Solution

The fourth proportional to 209.56, 289.18 and 116.31 is: 160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.56 : 289.18 = 116.31 : x
  2. Step 2: Convert to fraction form
    209.56/289.18 = 116.31/x
  3. Step 3: Cross multiply
    209.56x = 289.18 × 116.31
  4. Step 4: Simplify right side
    209.56x = 33,633.37
  5. Step 5: Solve for x
    x = 33,633.37/209.56
  6. Step 6: Final answer
    x = 160.49

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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.