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Finding the Fourth Proportional to 241.86, 364.02 and 219.48

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Solution

The fourth proportional to 241.86, 364.02 and 219.48 is: 330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.86 : 364.02 = 219.48 : x
  2. Step 2: Convert to fraction form
    241.86/364.02 = 219.48/x
  3. Step 3: Cross multiply
    241.86x = 364.02 × 219.48
  4. Step 4: Simplify right side
    241.86x = 79,895.11
  5. Step 5: Solve for x
    x = 79,895.11/241.86
  6. Step 6: Final answer
    x = 330.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.