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Finding the Fourth Proportional to 241.90, 362.86 and 105.02

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Solution

The fourth proportional to 241.90, 362.86 and 105.02 is: 157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.90 : 362.86 = 105.02 : x
  2. Step 2: Convert to fraction form
    241.90/362.86 = 105.02/x
  3. Step 3: Cross multiply
    241.90x = 362.86 × 105.02
  4. Step 4: Simplify right side
    241.90x = 38,107.56
  5. Step 5: Solve for x
    x = 38,107.56/241.90
  6. Step 6: Final answer
    x = 157.53

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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.