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Finding the Fourth Proportional to 209.88, 288.81 and 178.49

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Solution

The fourth proportional to 209.88, 288.81 and 178.49 is: 245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.88 : 288.81 = 178.49 : x
  2. Step 2: Convert to fraction form
    209.88/288.81 = 178.49/x
  3. Step 3: Cross multiply
    209.88x = 288.81 × 178.49
  4. Step 4: Simplify right side
    209.88x = 51,548.25
  5. Step 5: Solve for x
    x = 51,548.25/209.88
  6. Step 6: Final answer
    x = 245.61

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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.