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Finding the Fourth Proportional to 257.70, 355.15 and 227.83

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Solution

The fourth proportional to 257.70, 355.15 and 227.83 is: 313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.70 : 355.15 = 227.83 : x
  2. Step 2: Convert to fraction form
    257.70/355.15 = 227.83/x
  3. Step 3: Cross multiply
    257.70x = 355.15 × 227.83
  4. Step 4: Simplify right side
    257.70x = 80,913.89
  5. Step 5: Solve for x
    x = 80,913.89/257.70
  6. Step 6: Final answer
    x = 313.99

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