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Finding the Fourth Proportional to 255.02, 352.02 and 185.20

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Solution

The fourth proportional to 255.02, 352.02 and 185.20 is: 255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.02 : 352.02 = 185.20 : x
  2. Step 2: Convert to fraction form
    255.02/352.02 = 185.20/x
  3. Step 3: Cross multiply
    255.02x = 352.02 × 185.20
  4. Step 4: Simplify right side
    255.02x = 65,194.10
  5. Step 5: Solve for x
    x = 65,194.10/255.02
  6. Step 6: Final answer
    x = 255.64

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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.