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Finding the Fourth Proportional to 301.85, 452.30 and 180.05

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Solution

The fourth proportional to 301.85, 452.30 and 180.05 is: 269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.85 : 452.30 = 180.05 : x
  2. Step 2: Convert to fraction form
    301.85/452.30 = 180.05/x
  3. Step 3: Cross multiply
    301.85x = 452.30 × 180.05
  4. Step 4: Simplify right side
    301.85x = 81,434.47
  5. Step 5: Solve for x
    x = 81,434.47/301.85
  6. Step 6: Final answer
    x = 269.79

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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.