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Finding the Fourth Proportional to 213.70, 294.82 and 134.98

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Solution

The fourth proportional to 213.70, 294.82 and 134.98 is: 186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.70 : 294.82 = 134.98 : x
  2. Step 2: Convert to fraction form
    213.70/294.82 = 134.98/x
  3. Step 3: Cross multiply
    213.70x = 294.82 × 134.98
  4. Step 4: Simplify right side
    213.70x = 39,794.80
  5. Step 5: Solve for x
    x = 39,794.80/213.70
  6. Step 6: Final answer
    x = 186.22

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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.