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Finding the Fourth Proportional to 245.54, 369.95 and 222.12

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Solution

The fourth proportional to 245.54, 369.95 and 222.12 is: 334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.54 : 369.95 = 222.12 : x
  2. Step 2: Convert to fraction form
    245.54/369.95 = 222.12/x
  3. Step 3: Cross multiply
    245.54x = 369.95 × 222.12
  4. Step 4: Simplify right side
    245.54x = 82,171.14
  5. Step 5: Solve for x
    x = 82,171.14/245.54
  6. Step 6: Final answer
    x = 334.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.