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Finding the Fourth Proportional to 246.69, 370.17 and 165.56

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Solution

The fourth proportional to 246.69, 370.17 and 165.56 is: 248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.69 : 370.17 = 165.56 : x
  2. Step 2: Convert to fraction form
    246.69/370.17 = 165.56/x
  3. Step 3: Cross multiply
    246.69x = 370.17 × 165.56
  4. Step 4: Simplify right side
    246.69x = 61,283.49
  5. Step 5: Solve for x
    x = 61,283.49/246.69
  6. Step 6: Final answer
    x = 248.42

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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.