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Finding the Fourth Proportional to 216.43, 298.59 and 137.83

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Solution

The fourth proportional to 216.43, 298.59 and 137.83 is: 190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.43 : 298.59 = 137.83 : x
  2. Step 2: Convert to fraction form
    216.43/298.59 = 137.83/x
  3. Step 3: Cross multiply
    216.43x = 298.59 × 137.83
  4. Step 4: Simplify right side
    216.43x = 41,154.66
  5. Step 5: Solve for x
    x = 41,154.66/216.43
  6. Step 6: Final answer
    x = 190.15

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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.