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Finding the Fourth Proportional to 301.12, 416.14 and 222.75

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Solution

The fourth proportional to 301.12, 416.14 and 222.75 is: 307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.12 : 416.14 = 222.75 : x
  2. Step 2: Convert to fraction form
    301.12/416.14 = 222.75/x
  3. Step 3: Cross multiply
    301.12x = 416.14 × 222.75
  4. Step 4: Simplify right side
    301.12x = 92,694.63
  5. Step 5: Solve for x
    x = 92,694.63/301.12
  6. Step 6: Final answer
    x = 307.84

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Why These Related Problems?

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