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Finding the Fourth Proportional to 213.52, 294.69 and 134.90

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Solution

The fourth proportional to 213.52, 294.69 and 134.90 is: 186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.52 : 294.69 = 134.90 : x
  2. Step 2: Convert to fraction form
    213.52/294.69 = 134.90/x
  3. Step 3: Cross multiply
    213.52x = 294.69 × 134.90
  4. Step 4: Simplify right side
    213.52x = 39,753.68
  5. Step 5: Solve for x
    x = 39,753.68/213.52
  6. Step 6: Final answer
    x = 186.18

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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.