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Finding the Fourth Proportional to 209.69, 289.27 and 135.98

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Solution

The fourth proportional to 209.69, 289.27 and 135.98 is: 187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.69 : 289.27 = 135.98 : x
  2. Step 2: Convert to fraction form
    209.69/289.27 = 135.98/x
  3. Step 3: Cross multiply
    209.69x = 289.27 × 135.98
  4. Step 4: Simplify right side
    209.69x = 39,334.74
  5. Step 5: Solve for x
    x = 39,334.74/209.69
  6. Step 6: Final answer
    x = 187.59

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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.