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Finding the Fourth Proportional to 282.81, 389.37 and 245.96

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Solution

The fourth proportional to 282.81, 389.37 and 245.96 is: 338.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.81 : 389.37 = 245.96 : x
  2. Step 2: Convert to fraction form
    282.81/389.37 = 245.96/x
  3. Step 3: Cross multiply
    282.81x = 389.37 × 245.96
  4. Step 4: Simplify right side
    282.81x = 95,767.50
  5. Step 5: Solve for x
    x = 95,767.50/282.81
  6. Step 6: Final answer
    x = 338.63

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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.