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Finding the Fourth Proportional to 246.26, 369.28 and 116.16

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Solution

The fourth proportional to 246.26, 369.28 and 116.16 is: 174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.26 : 369.28 = 116.16 : x
  2. Step 2: Convert to fraction form
    246.26/369.28 = 116.16/x
  3. Step 3: Cross multiply
    246.26x = 369.28 × 116.16
  4. Step 4: Simplify right side
    246.26x = 42,895.56
  5. Step 5: Solve for x
    x = 42,895.56/246.26
  6. Step 6: Final answer
    x = 174.19

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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.