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Finding the Fourth Proportional to 216.31, 298.61 and 137.71

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Solution

The fourth proportional to 216.31, 298.61 and 137.71 is: 190.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.31 : 298.61 = 137.71 : x
  2. Step 2: Convert to fraction form
    216.31/298.61 = 137.71/x
  3. Step 3: Cross multiply
    216.31x = 298.61 × 137.71
  4. Step 4: Simplify right side
    216.31x = 41,121.58
  5. Step 5: Solve for x
    x = 41,121.58/216.31
  6. Step 6: Final answer
    x = 190.10

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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.