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Finding the Fourth Proportional to 255.08, 351.97 and 144.55

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Solution

The fourth proportional to 255.08, 351.97 and 144.55 is: 199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.08 : 351.97 = 144.55 : x
  2. Step 2: Convert to fraction form
    255.08/351.97 = 144.55/x
  3. Step 3: Cross multiply
    255.08x = 351.97 × 144.55
  4. Step 4: Simplify right side
    255.08x = 50,877.34
  5. Step 5: Solve for x
    x = 50,877.34/255.08
  6. Step 6: Final answer
    x = 199.45

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