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Finding the Fourth Proportional to 209.63, 289.11 and 178.64

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Solution

The fourth proportional to 209.63, 289.11 and 178.64 is: 246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.63 : 289.11 = 178.64 : x
  2. Step 2: Convert to fraction form
    209.63/289.11 = 178.64/x
  3. Step 3: Cross multiply
    209.63x = 289.11 × 178.64
  4. Step 4: Simplify right side
    209.63x = 51,646.61
  5. Step 5: Solve for x
    x = 51,646.61/209.63
  6. Step 6: Final answer
    x = 246.37

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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.