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Finding the Fourth Proportional to 213.17, 294.31 and 134.59

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Solution

The fourth proportional to 213.17, 294.31 and 134.59 is: 185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.17 : 294.31 = 134.59 : x
  2. Step 2: Convert to fraction form
    213.17/294.31 = 134.59/x
  3. Step 3: Cross multiply
    213.17x = 294.31 × 134.59
  4. Step 4: Simplify right side
    213.17x = 39,611.18
  5. Step 5: Solve for x
    x = 39,611.18/213.17
  6. Step 6: Final answer
    x = 185.82

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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.