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Finding the Fourth Proportional to 185.37, 255.70 and 118.99

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Solution

The fourth proportional to 185.37, 255.70 and 118.99 is: 164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.37 : 255.70 = 118.99 : x
  2. Step 2: Convert to fraction form
    185.37/255.70 = 118.99/x
  3. Step 3: Cross multiply
    185.37x = 255.70 × 118.99
  4. Step 4: Simplify right side
    185.37x = 30,425.74
  5. Step 5: Solve for x
    x = 30,425.74/185.37
  6. Step 6: Final answer
    x = 164.14

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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.