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Finding the Fourth Proportional to 184.86, 255.13 and 106.20

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Solution

The fourth proportional to 184.86, 255.13 and 106.20 is: 146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.86 : 255.13 = 106.20 : x
  2. Step 2: Convert to fraction form
    184.86/255.13 = 106.20/x
  3. Step 3: Cross multiply
    184.86x = 255.13 × 106.20
  4. Step 4: Simplify right side
    184.86x = 27,094.54
  5. Step 5: Solve for x
    x = 27,094.54/184.86
  6. Step 6: Final answer
    x = 146.57

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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.