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Finding the Fourth Proportional to 245.22, 366.81 and 241.50

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Solution

The fourth proportional to 245.22, 366.81 and 241.50 is: 361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.22 : 366.81 = 241.50 : x
  2. Step 2: Convert to fraction form
    245.22/366.81 = 241.50/x
  3. Step 3: Cross multiply
    245.22x = 366.81 × 241.50
  4. Step 4: Simplify right side
    245.22x = 88,584.62
  5. Step 5: Solve for x
    x = 88,584.62/245.22
  6. Step 6: Final answer
    x = 361.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.