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Finding the Fourth Proportional to 246.56, 339.90 and 188.24

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Solution

The fourth proportional to 246.56, 339.90 and 188.24 is: 259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.56 : 339.90 = 188.24 : x
  2. Step 2: Convert to fraction form
    246.56/339.90 = 188.24/x
  3. Step 3: Cross multiply
    246.56x = 339.90 × 188.24
  4. Step 4: Simplify right side
    246.56x = 63,982.78
  5. Step 5: Solve for x
    x = 63,982.78/246.56
  6. Step 6: Final answer
    x = 259.50

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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.