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Finding the Fourth Proportional to 246.52, 339.97 and 158.03

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Solution

The fourth proportional to 246.52, 339.97 and 158.03 is: 217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.52 : 339.97 = 158.03 : x
  2. Step 2: Convert to fraction form
    246.52/339.97 = 158.03/x
  3. Step 3: Cross multiply
    246.52x = 339.97 × 158.03
  4. Step 4: Simplify right side
    246.52x = 53,724.42
  5. Step 5: Solve for x
    x = 53,724.42/246.52
  6. Step 6: Final answer
    x = 217.93

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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.