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Finding the Fourth Proportional to 241.95, 362.93 and 160.21

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Solution

The fourth proportional to 241.95, 362.93 and 160.21 is: 240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.95 : 362.93 = 160.21 : x
  2. Step 2: Convert to fraction form
    241.95/362.93 = 160.21/x
  3. Step 3: Cross multiply
    241.95x = 362.93 × 160.21
  4. Step 4: Simplify right side
    241.95x = 58,145.57
  5. Step 5: Solve for x
    x = 58,145.57/241.95
  6. Step 6: Final answer
    x = 240.32

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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.