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Finding the Fourth Proportional to 226.06, 339.50 and 216.50

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Solution

The fourth proportional to 226.06, 339.50 and 216.50 is: 325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.06 : 339.50 = 216.50 : x
  2. Step 2: Convert to fraction form
    226.06/339.50 = 216.50/x
  3. Step 3: Cross multiply
    226.06x = 339.50 × 216.50
  4. Step 4: Simplify right side
    226.06x = 73,501.75
  5. Step 5: Solve for x
    x = 73,501.75/226.06
  6. Step 6: Final answer
    x = 325.14

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Why These Related Problems?

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