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Finding the Fourth Proportional to 209.42, 289.00 and 116.17

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Solution

The fourth proportional to 209.42, 289.00 and 116.17 is: 160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.42 : 289.00 = 116.17 : x
  2. Step 2: Convert to fraction form
    209.42/289.00 = 116.17/x
  3. Step 3: Cross multiply
    209.42x = 289.00 × 116.17
  4. Step 4: Simplify right side
    209.42x = 33,572.55
  5. Step 5: Solve for x
    x = 33,572.55/209.42
  6. Step 6: Final answer
    x = 160.31

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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.