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Finding the Fourth Proportional to 216.56, 298.65 and 137.78

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Solution

The fourth proportional to 216.56, 298.65 and 137.78 is: 190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.56 : 298.65 = 137.78 : x
  2. Step 2: Convert to fraction form
    216.56/298.65 = 137.78/x
  3. Step 3: Cross multiply
    216.56x = 298.65 × 137.78
  4. Step 4: Simplify right side
    216.56x = 41,149.82
  5. Step 5: Solve for x
    x = 41,149.82/216.56
  6. Step 6: Final answer
    x = 190.02

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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.