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Finding the Fourth Proportional to 301.07, 451.49 and 118.43

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Solution

The fourth proportional to 301.07, 451.49 and 118.43 is: 177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.07 : 451.49 = 118.43 : x
  2. Step 2: Convert to fraction form
    301.07/451.49 = 118.43/x
  3. Step 3: Cross multiply
    301.07x = 451.49 × 118.43
  4. Step 4: Simplify right side
    301.07x = 53,467.11
  5. Step 5: Solve for x
    x = 53,467.11/301.07
  6. Step 6: Final answer
    x = 177.59

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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.