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Finding the Fourth Proportional to 241.98, 363.32 and 235.84

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Solution

The fourth proportional to 241.98, 363.32 and 235.84 is: 354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.98 : 363.32 = 235.84 : x
  2. Step 2: Convert to fraction form
    241.98/363.32 = 235.84/x
  3. Step 3: Cross multiply
    241.98x = 363.32 × 235.84
  4. Step 4: Simplify right side
    241.98x = 85,685.39
  5. Step 5: Solve for x
    x = 85,685.39/241.98
  6. Step 6: Final answer
    x = 354.10

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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.