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Finding the Fourth Proportional to 246.48, 338.06 and 217.32

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Solution

The fourth proportional to 246.48, 338.06 and 217.32 is: 298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.48 : 338.06 = 217.32 : x
  2. Step 2: Convert to fraction form
    246.48/338.06 = 217.32/x
  3. Step 3: Cross multiply
    246.48x = 338.06 × 217.32
  4. Step 4: Simplify right side
    246.48x = 73,467.20
  5. Step 5: Solve for x
    x = 73,467.20/246.48
  6. Step 6: Final answer
    x = 298.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.