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Finding the Fourth Proportional to 190.06, 261.65 and 181.36

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Solution

The fourth proportional to 190.06, 261.65 and 181.36 is: 249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.06 : 261.65 = 181.36 : x
  2. Step 2: Convert to fraction form
    190.06/261.65 = 181.36/x
  3. Step 3: Cross multiply
    190.06x = 261.65 × 181.36
  4. Step 4: Simplify right side
    190.06x = 47,452.15
  5. Step 5: Solve for x
    x = 47,452.15/190.06
  6. Step 6: Final answer
    x = 249.67

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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.