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Finding the Fourth Proportional to 246.74, 370.24 and 138.53

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Solution

The fourth proportional to 246.74, 370.24 and 138.53 is: 207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.74 : 370.24 = 138.53 : x
  2. Step 2: Convert to fraction form
    246.74/370.24 = 138.53/x
  3. Step 3: Cross multiply
    246.74x = 370.24 × 138.53
  4. Step 4: Simplify right side
    246.74x = 51,289.93
  5. Step 5: Solve for x
    x = 51,289.93/246.74
  6. Step 6: Final answer
    x = 207.87

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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.