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Finding the Fourth Proportional to 213.06, 293.75 and 139.33

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Solution

The fourth proportional to 213.06, 293.75 and 139.33 is: 192.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.06 : 293.75 = 139.33 : x
  2. Step 2: Convert to fraction form
    213.06/293.75 = 139.33/x
  3. Step 3: Cross multiply
    213.06x = 293.75 × 139.33
  4. Step 4: Simplify right side
    213.06x = 40,926.76
  5. Step 5: Solve for x
    x = 40,926.76/213.06
  6. Step 6: Final answer
    x = 192.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.