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Finding the Fourth Proportional to 246.47, 369.80 and 138.24

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Solution

The fourth proportional to 246.47, 369.80 and 138.24 is: 207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.47 : 369.80 = 138.24 : x
  2. Step 2: Convert to fraction form
    246.47/369.80 = 138.24/x
  3. Step 3: Cross multiply
    246.47x = 369.80 × 138.24
  4. Step 4: Simplify right side
    246.47x = 51,120.46
  5. Step 5: Solve for x
    x = 51,120.46/246.47
  6. Step 6: Final answer
    x = 207.41

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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.