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Finding the Fourth Proportional to 246.16, 369.24 and 165.16

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Solution

The fourth proportional to 246.16, 369.24 and 165.16 is: 247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.16 : 369.24 = 165.16 : x
  2. Step 2: Convert to fraction form
    246.16/369.24 = 165.16/x
  3. Step 3: Cross multiply
    246.16x = 369.24 × 165.16
  4. Step 4: Simplify right side
    246.16x = 60,983.68
  5. Step 5: Solve for x
    x = 60,983.68/246.16
  6. Step 6: Final answer
    x = 247.74

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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.