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Finding the Fourth Proportional to 246.27, 369.44 and 177.62

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Solution

The fourth proportional to 246.27, 369.44 and 177.62 is: 266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.27 : 369.44 = 177.62 : x
  2. Step 2: Convert to fraction form
    246.27/369.44 = 177.62/x
  3. Step 3: Cross multiply
    246.27x = 369.44 × 177.62
  4. Step 4: Simplify right side
    246.27x = 65,618.40
  5. Step 5: Solve for x
    x = 65,618.40/246.27
  6. Step 6: Final answer
    x = 266.45

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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.