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Finding the Fourth Proportional to 246.99, 340.64 and 148.73

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Solution

The fourth proportional to 246.99, 340.64 and 148.73 is: 205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.99 : 340.64 = 148.73 : x
  2. Step 2: Convert to fraction form
    246.99/340.64 = 148.73/x
  3. Step 3: Cross multiply
    246.99x = 340.64 × 148.73
  4. Step 4: Simplify right side
    246.99x = 50,660.94
  5. Step 5: Solve for x
    x = 50,660.94/246.99
  6. Step 6: Final answer
    x = 205.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.