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Finding the Fourth Proportional to 246.91, 370.41 and 102.63

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Solution

The fourth proportional to 246.91, 370.41 and 102.63 is: 153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.91 : 370.41 = 102.63 : x
  2. Step 2: Convert to fraction form
    246.91/370.41 = 102.63/x
  3. Step 3: Cross multiply
    246.91x = 370.41 × 102.63
  4. Step 4: Simplify right side
    246.91x = 38,015.18
  5. Step 5: Solve for x
    x = 38,015.18/246.91
  6. Step 6: Final answer
    x = 153.96

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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.