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Finding the Fourth Proportional to 301.99, 453.24 and 119.51

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Solution

The fourth proportional to 301.99, 453.24 and 119.51 is: 179.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.99 : 453.24 = 119.51 : x
  2. Step 2: Convert to fraction form
    301.99/453.24 = 119.51/x
  3. Step 3: Cross multiply
    301.99x = 453.24 × 119.51
  4. Step 4: Simplify right side
    301.99x = 54,166.41
  5. Step 5: Solve for x
    x = 54,166.41/301.99
  6. Step 6: Final answer
    x = 179.37

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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.