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Finding the Fourth Proportional to 255.46, 352.12 and 172.54

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Solution

The fourth proportional to 255.46, 352.12 and 172.54 is: 237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.46 : 352.12 = 172.54 : x
  2. Step 2: Convert to fraction form
    255.46/352.12 = 172.54/x
  3. Step 3: Cross multiply
    255.46x = 352.12 × 172.54
  4. Step 4: Simplify right side
    255.46x = 60,754.78
  5. Step 5: Solve for x
    x = 60,754.78/255.46
  6. Step 6: Final answer
    x = 237.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.