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Finding the Fourth Proportional to 255.54, 383.44 and 118.43

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Solution

The fourth proportional to 255.54, 383.44 and 118.43 is: 177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.54 : 383.44 = 118.43 : x
  2. Step 2: Convert to fraction form
    255.54/383.44 = 118.43/x
  3. Step 3: Cross multiply
    255.54x = 383.44 × 118.43
  4. Step 4: Simplify right side
    255.54x = 45,410.80
  5. Step 5: Solve for x
    x = 45,410.80/255.54
  6. Step 6: Final answer
    x = 177.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.