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Finding the Fourth Proportional to 209.94, 289.71 and 116.69

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Solution

The fourth proportional to 209.94, 289.71 and 116.69 is: 161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.94 : 289.71 = 116.69 : x
  2. Step 2: Convert to fraction form
    209.94/289.71 = 116.69/x
  3. Step 3: Cross multiply
    209.94x = 289.71 × 116.69
  4. Step 4: Simplify right side
    209.94x = 33,804.81
  5. Step 5: Solve for x
    x = 33,804.81/209.94
  6. Step 6: Final answer
    x = 161.02

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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.