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Finding the Fourth Proportional to 246.83, 370.47 and 116.91

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Solution

The fourth proportional to 246.83, 370.47 and 116.91 is: 175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.83 : 370.47 = 116.91 : x
  2. Step 2: Convert to fraction form
    246.83/370.47 = 116.91/x
  3. Step 3: Cross multiply
    246.83x = 370.47 × 116.91
  4. Step 4: Simplify right side
    246.83x = 43,309.21
  5. Step 5: Solve for x
    x = 43,309.21/246.83
  6. Step 6: Final answer
    x = 175.46

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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.