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Finding the Fourth Proportional to 246.86, 370.31 and 102.66

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Solution

The fourth proportional to 246.86, 370.31 and 102.66 is: 154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.86 : 370.31 = 102.66 : x
  2. Step 2: Convert to fraction form
    246.86/370.31 = 102.66/x
  3. Step 3: Cross multiply
    246.86x = 370.31 × 102.66
  4. Step 4: Simplify right side
    246.86x = 38,016.02
  5. Step 5: Solve for x
    x = 38,016.02/246.86
  6. Step 6: Final answer
    x = 154.00

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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.