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Finding the Fourth Proportional to 246.72, 340.56 and 195.20

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Solution

The fourth proportional to 246.72, 340.56 and 195.20 is: 269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.72 : 340.56 = 195.20 : x
  2. Step 2: Convert to fraction form
    246.72/340.56 = 195.20/x
  3. Step 3: Cross multiply
    246.72x = 340.56 × 195.20
  4. Step 4: Simplify right side
    246.72x = 66,477.31
  5. Step 5: Solve for x
    x = 66,477.31/246.72
  6. Step 6: Final answer
    x = 269.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.