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Finding the Fourth Proportional to 246.38, 369.70 and 188.97

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Solution

The fourth proportional to 246.38, 369.70 and 188.97 is: 283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.38 : 369.70 = 188.97 : x
  2. Step 2: Convert to fraction form
    246.38/369.70 = 188.97/x
  3. Step 3: Cross multiply
    246.38x = 369.70 × 188.97
  4. Step 4: Simplify right side
    246.38x = 69,861.26
  5. Step 5: Solve for x
    x = 69,861.26/246.38
  6. Step 6: Final answer
    x = 283.55

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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.