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Finding the Fourth Proportional to 252.57, 381.18 and 246.09

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Solution

The fourth proportional to 252.57, 381.18 and 246.09 is: 371.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.57 : 381.18 = 246.09 : x
  2. Step 2: Convert to fraction form
    252.57/381.18 = 246.09/x
  3. Step 3: Cross multiply
    252.57x = 381.18 × 246.09
  4. Step 4: Simplify right side
    252.57x = 93,804.59
  5. Step 5: Solve for x
    x = 93,804.59/252.57
  6. Step 6: Final answer
    x = 371.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.