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Finding the Fourth Proportional to 278.93, 384.14 and 261.33

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Solution

The fourth proportional to 278.93, 384.14 and 261.33 is: 359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.93 : 384.14 = 261.33 : x
  2. Step 2: Convert to fraction form
    278.93/384.14 = 261.33/x
  3. Step 3: Cross multiply
    278.93x = 384.14 × 261.33
  4. Step 4: Simplify right side
    278.93x = 100,387.31
  5. Step 5: Solve for x
    x = 100,387.31/278.93
  6. Step 6: Final answer
    x = 359.90

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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.