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Finding the Fourth Proportional to 282.30, 389.62 and 182.83

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Solution

The fourth proportional to 282.30, 389.62 and 182.83 is: 252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.30 : 389.62 = 182.83 : x
  2. Step 2: Convert to fraction form
    282.30/389.62 = 182.83/x
  3. Step 3: Cross multiply
    282.30x = 389.62 × 182.83
  4. Step 4: Simplify right side
    282.30x = 71,234.22
  5. Step 5: Solve for x
    x = 71,234.22/282.30
  6. Step 6: Final answer
    x = 252.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.