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Finding the Fourth Proportional to 241.85, 362.98 and 160.75

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Solution

The fourth proportional to 241.85, 362.98 and 160.75 is: 241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.85 : 362.98 = 160.75 : x
  2. Step 2: Convert to fraction form
    241.85/362.98 = 160.75/x
  3. Step 3: Cross multiply
    241.85x = 362.98 × 160.75
  4. Step 4: Simplify right side
    241.85x = 58,349.69
  5. Step 5: Solve for x
    x = 58,349.69/241.85
  6. Step 6: Final answer
    x = 241.26

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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.