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Finding the Fourth Proportional to 246.56, 370.04 and 185.84

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Solution

The fourth proportional to 246.56, 370.04 and 185.84 is: 278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.56 : 370.04 = 185.84 : x
  2. Step 2: Convert to fraction form
    246.56/370.04 = 185.84/x
  3. Step 3: Cross multiply
    246.56x = 370.04 × 185.84
  4. Step 4: Simplify right side
    246.56x = 68,768.23
  5. Step 5: Solve for x
    x = 68,768.23/246.56
  6. Step 6: Final answer
    x = 278.91

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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.