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Finding the Fourth Proportional to 301.96, 452.77 and 119.15

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Solution

The fourth proportional to 301.96, 452.77 and 119.15 is: 178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.96 : 452.77 = 119.15 : x
  2. Step 2: Convert to fraction form
    301.96/452.77 = 119.15/x
  3. Step 3: Cross multiply
    301.96x = 452.77 × 119.15
  4. Step 4: Simplify right side
    301.96x = 53,949.90
  5. Step 5: Solve for x
    x = 53,949.90/301.96
  6. Step 6: Final answer
    x = 178.66

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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.