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Finding the Fourth Proportional to 255.52, 352.52 and 190.16

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Solution

The fourth proportional to 255.52, 352.52 and 190.16 is: 262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.52 : 352.52 = 190.16 : x
  2. Step 2: Convert to fraction form
    255.52/352.52 = 190.16/x
  3. Step 3: Cross multiply
    255.52x = 352.52 × 190.16
  4. Step 4: Simplify right side
    255.52x = 67,035.20
  5. Step 5: Solve for x
    x = 67,035.20/255.52
  6. Step 6: Final answer
    x = 262.35

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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.