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Finding the Fourth Proportional to 185.11, 255.32 and 129.00

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Solution

The fourth proportional to 185.11, 255.32 and 129.00 is: 177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.11 : 255.32 = 129.00 : x
  2. Step 2: Convert to fraction form
    185.11/255.32 = 129.00/x
  3. Step 3: Cross multiply
    185.11x = 255.32 × 129.00
  4. Step 4: Simplify right side
    185.11x = 32,935.00
  5. Step 5: Solve for x
    x = 32,935.00/185.11
  6. Step 6: Final answer
    x = 177.93

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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.