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Finding the Fourth Proportional to 301.12, 451.50 and 193.04

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Solution

The fourth proportional to 301.12, 451.50 and 193.04 is: 289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.12 : 451.50 = 193.04 : x
  2. Step 2: Convert to fraction form
    301.12/451.50 = 193.04/x
  3. Step 3: Cross multiply
    301.12x = 451.50 × 193.04
  4. Step 4: Simplify right side
    301.12x = 87,157.56
  5. Step 5: Solve for x
    x = 87,157.56/301.12
  6. Step 6: Final answer
    x = 289.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.