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Finding the Fourth Proportional to 246.77, 370.24 and 109.91

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Solution

The fourth proportional to 246.77, 370.24 and 109.91 is: 164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.77 : 370.24 = 109.91 : x
  2. Step 2: Convert to fraction form
    246.77/370.24 = 109.91/x
  3. Step 3: Cross multiply
    246.77x = 370.24 × 109.91
  4. Step 4: Simplify right side
    246.77x = 40,693.08
  5. Step 5: Solve for x
    x = 40,693.08/246.77
  6. Step 6: Final answer
    x = 164.90

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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.