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Finding the Fourth Proportional to 241.65, 362.14 and 111.32

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Solution

The fourth proportional to 241.65, 362.14 and 111.32 is: 166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.65 : 362.14 = 111.32 : x
  2. Step 2: Convert to fraction form
    241.65/362.14 = 111.32/x
  3. Step 3: Cross multiply
    241.65x = 362.14 × 111.32
  4. Step 4: Simplify right side
    241.65x = 40,313.42
  5. Step 5: Solve for x
    x = 40,313.42/241.65
  6. Step 6: Final answer
    x = 166.83

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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.