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Finding the Fourth Proportional to 246.74, 370.10 and 116.70

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Solution

The fourth proportional to 246.74, 370.10 and 116.70 is: 175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.74 : 370.10 = 116.70 : x
  2. Step 2: Convert to fraction form
    246.74/370.10 = 116.70/x
  3. Step 3: Cross multiply
    246.74x = 370.10 × 116.70
  4. Step 4: Simplify right side
    246.74x = 43,190.67
  5. Step 5: Solve for x
    x = 43,190.67/246.74
  6. Step 6: Final answer
    x = 175.05

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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.