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Finding the Fourth Proportional to 246.35, 369.41 and 143.66

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Solution

The fourth proportional to 246.35, 369.41 and 143.66 is: 215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.35 : 369.41 = 143.66 : x
  2. Step 2: Convert to fraction form
    246.35/369.41 = 143.66/x
  3. Step 3: Cross multiply
    246.35x = 369.41 × 143.66
  4. Step 4: Simplify right side
    246.35x = 53,069.65
  5. Step 5: Solve for x
    x = 53,069.65/246.35
  6. Step 6: Final answer
    x = 215.42

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