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Finding the Fourth Proportional to 255.42, 352.44 and 144.88

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Solution

The fourth proportional to 255.42, 352.44 and 144.88 is: 199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.42 : 352.44 = 144.88 : x
  2. Step 2: Convert to fraction form
    255.42/352.44 = 144.88/x
  3. Step 3: Cross multiply
    255.42x = 352.44 × 144.88
  4. Step 4: Simplify right side
    255.42x = 51,060.63
  5. Step 5: Solve for x
    x = 51,060.63/255.42
  6. Step 6: Final answer
    x = 199.91

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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.