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Finding the Fourth Proportional to 255.94, 384.04 and 111.67

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Solution

The fourth proportional to 255.94, 384.04 and 111.67 is: 167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.94 : 384.04 = 111.67 : x
  2. Step 2: Convert to fraction form
    255.94/384.04 = 111.67/x
  3. Step 3: Cross multiply
    255.94x = 384.04 × 111.67
  4. Step 4: Simplify right side
    255.94x = 42,883.83
  5. Step 5: Solve for x
    x = 42,883.83/255.94
  6. Step 6: Final answer
    x = 167.56

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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.