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Finding the Fourth Proportional to 216.07, 298.07 and 137.37

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Solution

The fourth proportional to 216.07, 298.07 and 137.37 is: 189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.07 : 298.07 = 137.37 : x
  2. Step 2: Convert to fraction form
    216.07/298.07 = 137.37/x
  3. Step 3: Cross multiply
    216.07x = 298.07 × 137.37
  4. Step 4: Simplify right side
    216.07x = 40,945.88
  5. Step 5: Solve for x
    x = 40,945.88/216.07
  6. Step 6: Final answer
    x = 189.50

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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.