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Finding the Fourth Proportional to 246, 339.54 and 142.56

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Solution

The fourth proportional to 246, 339.54 and 142.56 is: 196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    246 : 339.54 = 142.56 : x
  2. Step 2: Convert to fraction form
    246/339.54 = 142.56/x
  3. Step 3: Cross multiply
    246x = 339.54 × 142.56
  4. Step 4: Simplify right side
    246x = 48,404.82
  5. Step 5: Solve for x
    x = 48,404.82/246
  6. Step 6: Final answer
    x = 196.77

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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.