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Finding the Fourth Proportional to 246.65, 370.07 and 109.76

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Solution

The fourth proportional to 246.65, 370.07 and 109.76 is: 164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.65 : 370.07 = 109.76 : x
  2. Step 2: Convert to fraction form
    246.65/370.07 = 109.76/x
  3. Step 3: Cross multiply
    246.65x = 370.07 × 109.76
  4. Step 4: Simplify right side
    246.65x = 40,616.90
  5. Step 5: Solve for x
    x = 40,616.90/246.65
  6. Step 6: Final answer
    x = 164.68

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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.