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Finding the Fourth Proportional to 246.46, 369.78 and 130.90

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Solution

The fourth proportional to 246.46, 369.78 and 130.90 is: 196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.46 : 369.78 = 130.90 : x
  2. Step 2: Convert to fraction form
    246.46/369.78 = 130.90/x
  3. Step 3: Cross multiply
    246.46x = 369.78 × 130.90
  4. Step 4: Simplify right side
    246.46x = 48,404.20
  5. Step 5: Solve for x
    x = 48,404.20/246.46
  6. Step 6: Final answer
    x = 196.40

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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.