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Finding the Fourth Proportional to 320.19, 442.02 and 241.54

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Solution

The fourth proportional to 320.19, 442.02 and 241.54 is: 333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.19 : 442.02 = 241.54 : x
  2. Step 2: Convert to fraction form
    320.19/442.02 = 241.54/x
  3. Step 3: Cross multiply
    320.19x = 442.02 × 241.54
  4. Step 4: Simplify right side
    320.19x = 106,765.41
  5. Step 5: Solve for x
    x = 106,765.41/320.19
  6. Step 6: Final answer
    x = 333.44

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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.