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Finding the Fourth Proportional to 278.34, 384.21 and 173.44

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Solution

The fourth proportional to 278.34, 384.21 and 173.44 is: 239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.34 : 384.21 = 173.44 : x
  2. Step 2: Convert to fraction form
    278.34/384.21 = 173.44/x
  3. Step 3: Cross multiply
    278.34x = 384.21 × 173.44
  4. Step 4: Simplify right side
    278.34x = 66,636.52
  5. Step 5: Solve for x
    x = 66,636.52/278.34
  6. Step 6: Final answer
    x = 239.41

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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.