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Finding the Fourth Proportional to 209.52, 288.96 and 135.78

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Solution

The fourth proportional to 209.52, 288.96 and 135.78 is: 187.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.52 : 288.96 = 135.78 : x
  2. Step 2: Convert to fraction form
    209.52/288.96 = 135.78/x
  3. Step 3: Cross multiply
    209.52x = 288.96 × 135.78
  4. Step 4: Simplify right side
    209.52x = 39,234.99
  5. Step 5: Solve for x
    x = 39,234.99/209.52
  6. Step 6: Final answer
    x = 187.26

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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.