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Finding the Fourth Proportional to 246.72, 369.88 and 123.24

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Solution

The fourth proportional to 246.72, 369.88 and 123.24 is: 184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.72 : 369.88 = 123.24 : x
  2. Step 2: Convert to fraction form
    246.72/369.88 = 123.24/x
  3. Step 3: Cross multiply
    246.72x = 369.88 × 123.24
  4. Step 4: Simplify right side
    246.72x = 45,584.01
  5. Step 5: Solve for x
    x = 45,584.01/246.72
  6. Step 6: Final answer
    x = 184.76

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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.