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Finding the Fourth Proportional to 222.86, 307.14 and 193.29

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Solution

The fourth proportional to 222.86, 307.14 and 193.29 is: 266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.86 : 307.14 = 193.29 : x
  2. Step 2: Convert to fraction form
    222.86/307.14 = 193.29/x
  3. Step 3: Cross multiply
    222.86x = 307.14 × 193.29
  4. Step 4: Simplify right side
    222.86x = 59,367.09
  5. Step 5: Solve for x
    x = 59,367.09/222.86
  6. Step 6: Final answer
    x = 266.39

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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.