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Finding the Fourth Proportional to 246.87, 370.31 and 84.58

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Solution

The fourth proportional to 246.87, 370.31 and 84.58 is: 126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.87 : 370.31 = 84.58 : x
  2. Step 2: Convert to fraction form
    246.87/370.31 = 84.58/x
  3. Step 3: Cross multiply
    246.87x = 370.31 × 84.58
  4. Step 4: Simplify right side
    246.87x = 31,319.47
  5. Step 5: Solve for x
    x = 31,319.47/246.87
  6. Step 6: Final answer
    x = 126.87

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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.