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Finding the Fourth Proportional to 213.06, 319.04 and 136.11

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Solution

The fourth proportional to 213.06, 319.04 and 136.11 is: 203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.06 : 319.04 = 136.11 : x
  2. Step 2: Convert to fraction form
    213.06/319.04 = 136.11/x
  3. Step 3: Cross multiply
    213.06x = 319.04 × 136.11
  4. Step 4: Simplify right side
    213.06x = 43,424.53
  5. Step 5: Solve for x
    x = 43,424.53/213.06
  6. Step 6: Final answer
    x = 203.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.