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Finding the Fourth Proportional to 301.58, 451.89 and 193.14

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Solution

The fourth proportional to 301.58, 451.89 and 193.14 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.58 : 451.89 = 193.14 : x
  2. Step 2: Convert to fraction form
    301.58/451.89 = 193.14/x
  3. Step 3: Cross multiply
    301.58x = 451.89 × 193.14
  4. Step 4: Simplify right side
    301.58x = 87,278.03
  5. Step 5: Solve for x
    x = 87,278.03/301.58
  6. Step 6: Final answer
    x = 289.41

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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.