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Finding the Fourth Proportional to 300.97, 451.27 and 118.36

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Solution

The fourth proportional to 300.97, 451.27 and 118.36 is: 177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.97 : 451.27 = 118.36 : x
  2. Step 2: Convert to fraction form
    300.97/451.27 = 118.36/x
  3. Step 3: Cross multiply
    300.97x = 451.27 × 118.36
  4. Step 4: Simplify right side
    300.97x = 53,412.32
  5. Step 5: Solve for x
    x = 53,412.32/300.97
  6. Step 6: Final answer
    x = 177.47

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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.