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Finding the Fourth Proportional to 246.95, 370.34 and 109.75

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Solution

The fourth proportional to 246.95, 370.34 and 109.75 is: 164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.95 : 370.34 = 109.75 : x
  2. Step 2: Convert to fraction form
    246.95/370.34 = 109.75/x
  3. Step 3: Cross multiply
    246.95x = 370.34 × 109.75
  4. Step 4: Simplify right side
    246.95x = 40,644.07
  5. Step 5: Solve for x
    x = 40,644.07/246.95
  6. Step 6: Final answer
    x = 164.59

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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.