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Finding the Fourth Proportional to 241.98, 362.05 and 183.99

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Solution

The fourth proportional to 241.98, 362.05 and 183.99 is: 275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.98 : 362.05 = 183.99 : x
  2. Step 2: Convert to fraction form
    241.98/362.05 = 183.99/x
  3. Step 3: Cross multiply
    241.98x = 362.05 × 183.99
  4. Step 4: Simplify right side
    241.98x = 66,613.58
  5. Step 5: Solve for x
    x = 66,613.58/241.98
  6. Step 6: Final answer
    x = 275.29

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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.