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Finding the Fourth Proportional to 301.37, 451.59 and 179.49

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Solution

The fourth proportional to 301.37, 451.59 and 179.49 is: 268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.37 : 451.59 = 179.49 : x
  2. Step 2: Convert to fraction form
    301.37/451.59 = 179.49/x
  3. Step 3: Cross multiply
    301.37x = 451.59 × 179.49
  4. Step 4: Simplify right side
    301.37x = 81,055.89
  5. Step 5: Solve for x
    x = 81,055.89/301.37
  6. Step 6: Final answer
    x = 268.96

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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.