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Finding the Fourth Proportional to 246.26, 369.71 and 130.79

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Solution

The fourth proportional to 246.26, 369.71 and 130.79 is: 196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.26 : 369.71 = 130.79 : x
  2. Step 2: Convert to fraction form
    246.26/369.71 = 130.79/x
  3. Step 3: Cross multiply
    246.26x = 369.71 × 130.79
  4. Step 4: Simplify right side
    246.26x = 48,354.37
  5. Step 5: Solve for x
    x = 48,354.37/246.26
  6. Step 6: Final answer
    x = 196.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.