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Finding the Fourth Proportional to 246.95, 370.34 and 110.12

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Solution

The fourth proportional to 246.95, 370.34 and 110.12 is: 165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.95 : 370.34 = 110.12 : x
  2. Step 2: Convert to fraction form
    246.95/370.34 = 110.12/x
  3. Step 3: Cross multiply
    246.95x = 370.34 × 110.12
  4. Step 4: Simplify right side
    246.95x = 40,779.99
  5. Step 5: Solve for x
    x = 40,779.99/246.95
  6. Step 6: Final answer
    x = 165.13

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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.