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Finding the Fourth Proportional to 222.94, 309.22 and 214.74

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Solution

The fourth proportional to 222.94, 309.22 and 214.74 is: 297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.94 : 309.22 = 214.74 : x
  2. Step 2: Convert to fraction form
    222.94/309.22 = 214.74/x
  3. Step 3: Cross multiply
    222.94x = 309.22 × 214.74
  4. Step 4: Simplify right side
    222.94x = 66,401.90
  5. Step 5: Solve for x
    x = 66,401.90/222.94
  6. Step 6: Final answer
    x = 297.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.