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Finding the Fourth Proportional to 255.79, 381.71 and 228.45

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Solution

The fourth proportional to 255.79, 381.71 and 228.45 is: 340.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.79 : 381.71 = 228.45 : x
  2. Step 2: Convert to fraction form
    255.79/381.71 = 228.45/x
  3. Step 3: Cross multiply
    255.79x = 381.71 × 228.45
  4. Step 4: Simplify right side
    255.79x = 87,201.65
  5. Step 5: Solve for x
    x = 87,201.65/255.79
  6. Step 6: Final answer
    x = 340.91

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