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Finding the Fourth Proportional to 241.78, 362.19 and 193.12

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Solution

The fourth proportional to 241.78, 362.19 and 193.12 is: 289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.78 : 362.19 = 193.12 : x
  2. Step 2: Convert to fraction form
    241.78/362.19 = 193.12/x
  3. Step 3: Cross multiply
    241.78x = 362.19 × 193.12
  4. Step 4: Simplify right side
    241.78x = 69,946.13
  5. Step 5: Solve for x
    x = 69,946.13/241.78
  6. Step 6: Final answer
    x = 289.30

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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.