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Finding the Fourth Proportional to 212.83, 293.74 and 139.36

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Solution

The fourth proportional to 212.83, 293.74 and 139.36 is: 192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.83 : 293.74 = 139.36 : x
  2. Step 2: Convert to fraction form
    212.83/293.74 = 139.36/x
  3. Step 3: Cross multiply
    212.83x = 293.74 × 139.36
  4. Step 4: Simplify right side
    212.83x = 40,934.91
  5. Step 5: Solve for x
    x = 40,934.91/212.83
  6. Step 6: Final answer
    x = 192.34

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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.