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Finding the Fourth Proportional to 246.46, 340.46 and 197.28

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Solution

The fourth proportional to 246.46, 340.46 and 197.28 is: 272.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.46 : 340.46 = 197.28 : x
  2. Step 2: Convert to fraction form
    246.46/340.46 = 197.28/x
  3. Step 3: Cross multiply
    246.46x = 340.46 × 197.28
  4. Step 4: Simplify right side
    246.46x = 67,165.95
  5. Step 5: Solve for x
    x = 67,165.95/246.46
  6. Step 6: Final answer
    x = 272.52

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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.