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Finding the Fourth Proportional to 213.30, 294.42 and 139.59

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Solution

The fourth proportional to 213.30, 294.42 and 139.59 is: 192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.30 : 294.42 = 139.59 : x
  2. Step 2: Convert to fraction form
    213.30/294.42 = 139.59/x
  3. Step 3: Cross multiply
    213.30x = 294.42 × 139.59
  4. Step 4: Simplify right side
    213.30x = 41,098.09
  5. Step 5: Solve for x
    x = 41,098.09/213.30
  6. Step 6: Final answer
    x = 192.68

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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.