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Finding the Fourth Proportional to 230.09, 342.74 and 217.67

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Solution

The fourth proportional to 230.09, 342.74 and 217.67 is: 324.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.09 : 342.74 = 217.67 : x
  2. Step 2: Convert to fraction form
    230.09/342.74 = 217.67/x
  3. Step 3: Cross multiply
    230.09x = 342.74 × 217.67
  4. Step 4: Simplify right side
    230.09x = 74,604.22
  5. Step 5: Solve for x
    x = 74,604.22/230.09
  6. Step 6: Final answer
    x = 324.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.