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Finding the Fourth Proportional to 241.94, 362.76 and 110.12

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Solution

The fourth proportional to 241.94, 362.76 and 110.12 is: 165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.94 : 362.76 = 110.12 : x
  2. Step 2: Convert to fraction form
    241.94/362.76 = 110.12/x
  3. Step 3: Cross multiply
    241.94x = 362.76 × 110.12
  4. Step 4: Simplify right side
    241.94x = 39,945.32
  5. Step 5: Solve for x
    x = 39,945.32/241.94
  6. Step 6: Final answer
    x = 165.11

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