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Finding the Fourth Proportional to 246.08, 367.70 and 187.98

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Solution

The fourth proportional to 246.08, 367.70 and 187.98 is: 280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.08 : 367.70 = 187.98 : x
  2. Step 2: Convert to fraction form
    246.08/367.70 = 187.98/x
  3. Step 3: Cross multiply
    246.08x = 367.70 × 187.98
  4. Step 4: Simplify right side
    246.08x = 69,120.25
  5. Step 5: Solve for x
    x = 69,120.25/246.08
  6. Step 6: Final answer
    x = 280.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.