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Finding the Fourth Proportional to 241.77, 362.64 and 111.75

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Solution

The fourth proportional to 241.77, 362.64 and 111.75 is: 167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.77 : 362.64 = 111.75 : x
  2. Step 2: Convert to fraction form
    241.77/362.64 = 111.75/x
  3. Step 3: Cross multiply
    241.77x = 362.64 × 111.75
  4. Step 4: Simplify right side
    241.77x = 40,525.02
  5. Step 5: Solve for x
    x = 40,525.02/241.77
  6. Step 6: Final answer
    x = 167.62

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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.