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Finding the Fourth Proportional to 246.53, 339.99 and 205.22

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Solution

The fourth proportional to 246.53, 339.99 and 205.22 is: 283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.53 : 339.99 = 205.22 : x
  2. Step 2: Convert to fraction form
    246.53/339.99 = 205.22/x
  3. Step 3: Cross multiply
    246.53x = 339.99 × 205.22
  4. Step 4: Simplify right side
    246.53x = 69,772.75
  5. Step 5: Solve for x
    x = 69,772.75/246.53
  6. Step 6: Final answer
    x = 283.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.