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Finding the Fourth Proportional to 301.69, 416.30 and 223.05

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Solution

The fourth proportional to 301.69, 416.30 and 223.05 is: 307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.69 : 416.30 = 223.05 : x
  2. Step 2: Convert to fraction form
    301.69/416.30 = 223.05/x
  3. Step 3: Cross multiply
    301.69x = 416.30 × 223.05
  4. Step 4: Simplify right side
    301.69x = 92,855.72
  5. Step 5: Solve for x
    x = 92,855.72/301.69
  6. Step 6: Final answer
    x = 307.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.