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Finding the Fourth Proportional to 209.05, 288.47 and 135.34

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Solution

The fourth proportional to 209.05, 288.47 and 135.34 is: 186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.05 : 288.47 = 135.34 : x
  2. Step 2: Convert to fraction form
    209.05/288.47 = 135.34/x
  3. Step 3: Cross multiply
    209.05x = 288.47 × 135.34
  4. Step 4: Simplify right side
    209.05x = 39,039.41
  5. Step 5: Solve for x
    x = 39,039.41/209.05
  6. Step 6: Final answer
    x = 186.75

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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.