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Finding the Fourth Proportional to 255.12, 352.08 and 144.60

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Solution

The fourth proportional to 255.12, 352.08 and 144.60 is: 199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.12 : 352.08 = 144.60 : x
  2. Step 2: Convert to fraction form
    255.12/352.08 = 144.60/x
  3. Step 3: Cross multiply
    255.12x = 352.08 × 144.60
  4. Step 4: Simplify right side
    255.12x = 50,910.77
  5. Step 5: Solve for x
    x = 50,910.77/255.12
  6. Step 6: Final answer
    x = 199.56

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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.