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Finding the Fourth Proportional to 209.84, 289.23 and 178.84

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Solution

The fourth proportional to 209.84, 289.23 and 178.84 is: 246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.84 : 289.23 = 178.84 : x
  2. Step 2: Convert to fraction form
    209.84/289.23 = 178.84/x
  3. Step 3: Cross multiply
    209.84x = 289.23 × 178.84
  4. Step 4: Simplify right side
    209.84x = 51,725.89
  5. Step 5: Solve for x
    x = 51,725.89/209.84
  6. Step 6: Final answer
    x = 246.50

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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.