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Finding the Fourth Proportional to 301.74, 452.69 and 119.12

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Solution

The fourth proportional to 301.74, 452.69 and 119.12 is: 178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.74 : 452.69 = 119.12 : x
  2. Step 2: Convert to fraction form
    301.74/452.69 = 119.12/x
  3. Step 3: Cross multiply
    301.74x = 452.69 × 119.12
  4. Step 4: Simplify right side
    301.74x = 53,921.57
  5. Step 5: Solve for x
    x = 53,921.57/301.74
  6. Step 6: Final answer
    x = 178.70

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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.