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Finding the Fourth Proportional to 246.58, 369.90 and 197.83

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Solution

The fourth proportional to 246.58, 369.90 and 197.83 is: 296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.58 : 369.90 = 197.83 : x
  2. Step 2: Convert to fraction form
    246.58/369.90 = 197.83/x
  3. Step 3: Cross multiply
    246.58x = 369.90 × 197.83
  4. Step 4: Simplify right side
    246.58x = 73,177.32
  5. Step 5: Solve for x
    x = 73,177.32/246.58
  6. Step 6: Final answer
    x = 296.77

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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.