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Finding the Fourth Proportional to 246.70, 340.41 and 141.76

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Solution

The fourth proportional to 246.70, 340.41 and 141.76 is: 195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.70 : 340.41 = 141.76 : x
  2. Step 2: Convert to fraction form
    246.70/340.41 = 141.76/x
  3. Step 3: Cross multiply
    246.70x = 340.41 × 141.76
  4. Step 4: Simplify right side
    246.70x = 48,256.52
  5. Step 5: Solve for x
    x = 48,256.52/246.70
  6. Step 6: Final answer
    x = 195.61

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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.