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Finding the Fourth Proportional to 185.12, 255.36 and 116

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Solution

The fourth proportional to 185.12, 255.36 and 116 is: 160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.12 : 255.36 = 116 : x
  2. Step 2: Convert to fraction form
    185.12/255.36 = 116/x
  3. Step 3: Cross multiply
    185.12x = 255.36 × 116
  4. Step 4: Simplify right side
    185.12x = 29,621.76
  5. Step 5: Solve for x
    x = 29,621.76/185.12
  6. Step 6: Final answer
    x = 160.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.