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Finding the Fourth Proportional to 246.78, 370.24 and 102.53

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Solution

The fourth proportional to 246.78, 370.24 and 102.53 is: 153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.78 : 370.24 = 102.53 : x
  2. Step 2: Convert to fraction form
    246.78/370.24 = 102.53/x
  3. Step 3: Cross multiply
    246.78x = 370.24 × 102.53
  4. Step 4: Simplify right side
    246.78x = 37,961.38
  5. Step 5: Solve for x
    x = 37,961.38/246.78
  6. Step 6: Final answer
    x = 153.83

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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.