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Finding the Fourth Proportional to 255.13, 351.46 and 189.52

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Solution

The fourth proportional to 255.13, 351.46 and 189.52 is: 261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.13 : 351.46 = 189.52 : x
  2. Step 2: Convert to fraction form
    255.13/351.46 = 189.52/x
  3. Step 3: Cross multiply
    255.13x = 351.46 × 189.52
  4. Step 4: Simplify right side
    255.13x = 66,608.70
  5. Step 5: Solve for x
    x = 66,608.70/255.13
  6. Step 6: Final answer
    x = 261.08

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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.