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Finding the Fourth Proportional to 213.02, 293.82 and 139.22

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Solution

The fourth proportional to 213.02, 293.82 and 139.22 is: 192.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.02 : 293.82 = 139.22 : x
  2. Step 2: Convert to fraction form
    213.02/293.82 = 139.22/x
  3. Step 3: Cross multiply
    213.02x = 293.82 × 139.22
  4. Step 4: Simplify right side
    213.02x = 40,905.62
  5. Step 5: Solve for x
    x = 40,905.62/213.02
  6. Step 6: Final answer
    x = 192.03

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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.