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Finding the Fourth Proportional to 246.40, 369.76 and 138.24

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Solution

The fourth proportional to 246.40, 369.76 and 138.24 is: 207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.40 : 369.76 = 138.24 : x
  2. Step 2: Convert to fraction form
    246.40/369.76 = 138.24/x
  3. Step 3: Cross multiply
    246.40x = 369.76 × 138.24
  4. Step 4: Simplify right side
    246.40x = 51,115.62
  5. Step 5: Solve for x
    x = 51,115.62/246.40
  6. Step 6: Final answer
    x = 207.45

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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.