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Finding the Fourth Proportional to 255.77, 383.54 and 118.78

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Solution

The fourth proportional to 255.77, 383.54 and 118.78 is: 178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.77 : 383.54 = 118.78 : x
  2. Step 2: Convert to fraction form
    255.77/383.54 = 118.78/x
  3. Step 3: Cross multiply
    255.77x = 383.54 × 118.78
  4. Step 4: Simplify right side
    255.77x = 45,556.22
  5. Step 5: Solve for x
    x = 45,556.22/255.77
  6. Step 6: Final answer
    x = 178.12

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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.