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Finding the Fourth Proportional to 246.82, 370.05 and 102.46

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Solution

The fourth proportional to 246.82, 370.05 and 102.46 is: 153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.82 : 370.05 = 102.46 : x
  2. Step 2: Convert to fraction form
    246.82/370.05 = 102.46/x
  3. Step 3: Cross multiply
    246.82x = 370.05 × 102.46
  4. Step 4: Simplify right side
    246.82x = 37,915.32
  5. Step 5: Solve for x
    x = 37,915.32/246.82
  6. Step 6: Final answer
    x = 153.62

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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.