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Finding the Fourth Proportional to 248.32, 370.67 and 217.56

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Solution

The fourth proportional to 248.32, 370.67 and 217.56 is: 324.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.32 : 370.67 = 217.56 : x
  2. Step 2: Convert to fraction form
    248.32/370.67 = 217.56/x
  3. Step 3: Cross multiply
    248.32x = 370.67 × 217.56
  4. Step 4: Simplify right side
    248.32x = 80,642.97
  5. Step 5: Solve for x
    x = 80,642.97/248.32
  6. Step 6: Final answer
    x = 324.75

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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.