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Finding the Fourth Proportional to 278.54, 384.42 and 205.10

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Solution

The fourth proportional to 278.54, 384.42 and 205.10 is: 283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.54 : 384.42 = 205.10 : x
  2. Step 2: Convert to fraction form
    278.54/384.42 = 205.10/x
  3. Step 3: Cross multiply
    278.54x = 384.42 × 205.10
  4. Step 4: Simplify right side
    278.54x = 78,844.54
  5. Step 5: Solve for x
    x = 78,844.54/278.54
  6. Step 6: Final answer
    x = 283.06

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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.