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Finding the Fourth Proportional to 255.16, 380.78 and 227.82

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Solution

The fourth proportional to 255.16, 380.78 and 227.82 is: 339.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.16 : 380.78 = 227.82 : x
  2. Step 2: Convert to fraction form
    255.16/380.78 = 227.82/x
  3. Step 3: Cross multiply
    255.16x = 380.78 × 227.82
  4. Step 4: Simplify right side
    255.16x = 86,749.30
  5. Step 5: Solve for x
    x = 86,749.30/255.16
  6. Step 6: Final answer
    x = 339.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.