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Finding the Fourth Proportional to 222.74, 307.18 and 139.85

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Solution

The fourth proportional to 222.74, 307.18 and 139.85 is: 192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.74 : 307.18 = 139.85 : x
  2. Step 2: Convert to fraction form
    222.74/307.18 = 139.85/x
  3. Step 3: Cross multiply
    222.74x = 307.18 × 139.85
  4. Step 4: Simplify right side
    222.74x = 42,958.97
  5. Step 5: Solve for x
    x = 42,958.97/222.74
  6. Step 6: Final answer
    x = 192.87

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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.