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Finding the Fourth Proportional to 246.83, 370.40 and 138.65

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Solution

The fourth proportional to 246.83, 370.40 and 138.65 is: 208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.83 : 370.40 = 138.65 : x
  2. Step 2: Convert to fraction form
    246.83/370.40 = 138.65/x
  3. Step 3: Cross multiply
    246.83x = 370.40 × 138.65
  4. Step 4: Simplify right side
    246.83x = 51,355.27
  5. Step 5: Solve for x
    x = 51,355.27/246.83
  6. Step 6: Final answer
    x = 208.06

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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.