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Finding the Fourth Proportional to 246.21, 369.39 and 116.31

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Solution

The fourth proportional to 246.21, 369.39 and 116.31 is: 174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.21 : 369.39 = 116.31 : x
  2. Step 2: Convert to fraction form
    246.21/369.39 = 116.31/x
  3. Step 3: Cross multiply
    246.21x = 369.39 × 116.31
  4. Step 4: Simplify right side
    246.21x = 42,962.19
  5. Step 5: Solve for x
    x = 42,962.19/246.21
  6. Step 6: Final answer
    x = 174.50

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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.