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Finding the Fourth Proportional to 301.05, 415.04 and 190.53

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Solution

The fourth proportional to 301.05, 415.04 and 190.53 is: 262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.05 : 415.04 = 190.53 : x
  2. Step 2: Convert to fraction form
    301.05/415.04 = 190.53/x
  3. Step 3: Cross multiply
    301.05x = 415.04 × 190.53
  4. Step 4: Simplify right side
    301.05x = 79,076.62
  5. Step 5: Solve for x
    x = 79,076.62/301.05
  6. Step 6: Final answer
    x = 262.67

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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.