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Finding the Fourth Proportional to 246.69, 370.06 and 214.09

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Solution

The fourth proportional to 246.69, 370.06 and 214.09 is: 321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.69 : 370.06 = 214.09 : x
  2. Step 2: Convert to fraction form
    246.69/370.06 = 214.09/x
  3. Step 3: Cross multiply
    246.69x = 370.06 × 214.09
  4. Step 4: Simplify right side
    246.69x = 79,224.69
  5. Step 5: Solve for x
    x = 79,224.69/246.69
  6. Step 6: Final answer
    x = 321.15

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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.