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Finding the Fourth Proportional to 209.59, 289.25 and 116.35

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Solution

The fourth proportional to 209.59, 289.25 and 116.35 is: 160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.59 : 289.25 = 116.35 : x
  2. Step 2: Convert to fraction form
    209.59/289.25 = 116.35/x
  3. Step 3: Cross multiply
    209.59x = 289.25 × 116.35
  4. Step 4: Simplify right side
    209.59x = 33,653.51
  5. Step 5: Solve for x
    x = 33,653.51/209.59
  6. Step 6: Final answer
    x = 160.57

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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.