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Finding the Fourth Proportional to 246.76, 340.54 and 141.85

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Solution

The fourth proportional to 246.76, 340.54 and 141.85 is: 195.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.76 : 340.54 = 141.85 : x
  2. Step 2: Convert to fraction form
    246.76/340.54 = 141.85/x
  3. Step 3: Cross multiply
    246.76x = 340.54 × 141.85
  4. Step 4: Simplify right side
    246.76x = 48,306.27
  5. Step 5: Solve for x
    x = 48,306.27/246.76
  6. Step 6: Final answer
    x = 195.76

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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.