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Finding the Fourth Proportional to 241.84, 333.90 and 158.95

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Solution

The fourth proportional to 241.84, 333.90 and 158.95 is: 219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.84 : 333.90 = 158.95 : x
  2. Step 2: Convert to fraction form
    241.84/333.90 = 158.95/x
  3. Step 3: Cross multiply
    241.84x = 333.90 × 158.95
  4. Step 4: Simplify right side
    241.84x = 53,073.41
  5. Step 5: Solve for x
    x = 53,073.41/241.84
  6. Step 6: Final answer
    x = 219.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.