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Finding the Fourth Proportional to 256.83, 355.96 and 252.99

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Solution

The fourth proportional to 256.83, 355.96 and 252.99 is: 350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.83 : 355.96 = 252.99 : x
  2. Step 2: Convert to fraction form
    256.83/355.96 = 252.99/x
  3. Step 3: Cross multiply
    256.83x = 355.96 × 252.99
  4. Step 4: Simplify right side
    256.83x = 90,053.69
  5. Step 5: Solve for x
    x = 90,053.69/256.83
  6. Step 6: Final answer
    x = 350.64

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.