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Finding the Fourth Proportional to 255.82, 383.75 and 111.54

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Solution

The fourth proportional to 255.82, 383.75 and 111.54 is: 167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.82 : 383.75 = 111.54 : x
  2. Step 2: Convert to fraction form
    255.82/383.75 = 111.54/x
  3. Step 3: Cross multiply
    255.82x = 383.75 × 111.54
  4. Step 4: Simplify right side
    255.82x = 42,803.48
  5. Step 5: Solve for x
    x = 42,803.48/255.82
  6. Step 6: Final answer
    x = 167.32

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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.