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Finding the Fourth Proportional to 301.31, 416.05 and 222.71

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Solution

The fourth proportional to 301.31, 416.05 and 222.71 is: 307.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.31 : 416.05 = 222.71 : x
  2. Step 2: Convert to fraction form
    301.31/416.05 = 222.71/x
  3. Step 3: Cross multiply
    301.31x = 416.05 × 222.71
  4. Step 4: Simplify right side
    301.31x = 92,657.38
  5. Step 5: Solve for x
    x = 92,657.38/301.31
  6. Step 6: Final answer
    x = 307.52

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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.