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Finding the Fourth Proportional to 246.64, 371.32 and 216.40

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Solution

The fourth proportional to 246.64, 371.32 and 216.40 is: 325.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.64 : 371.32 = 216.40 : x
  2. Step 2: Convert to fraction form
    246.64/371.32 = 216.40/x
  3. Step 3: Cross multiply
    246.64x = 371.32 × 216.40
  4. Step 4: Simplify right side
    246.64x = 80,353.65
  5. Step 5: Solve for x
    x = 80,353.65/246.64
  6. Step 6: Final answer
    x = 325.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.