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Finding the Fourth Proportional to 209.53, 289.09 and 135.87

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Solution

The fourth proportional to 209.53, 289.09 and 135.87 is: 187.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.53 : 289.09 = 135.87 : x
  2. Step 2: Convert to fraction form
    209.53/289.09 = 135.87/x
  3. Step 3: Cross multiply
    209.53x = 289.09 × 135.87
  4. Step 4: Simplify right side
    209.53x = 39,278.66
  5. Step 5: Solve for x
    x = 39,278.66/209.53
  6. Step 6: Final answer
    x = 187.46

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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.