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Finding the Fourth Proportional to 213.39, 294.35 and 134.73

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Solution

The fourth proportional to 213.39, 294.35 and 134.73 is: 185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.39 : 294.35 = 134.73 : x
  2. Step 2: Convert to fraction form
    213.39/294.35 = 134.73/x
  3. Step 3: Cross multiply
    213.39x = 294.35 × 134.73
  4. Step 4: Simplify right side
    213.39x = 39,657.10
  5. Step 5: Solve for x
    x = 39,657.10/213.39
  6. Step 6: Final answer
    x = 185.84

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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.