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Finding the Fourth Proportional to 278.16, 415.95 and 208.95

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Solution

The fourth proportional to 278.16, 415.95 and 208.95 is: 312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.16 : 415.95 = 208.95 : x
  2. Step 2: Convert to fraction form
    278.16/415.95 = 208.95/x
  3. Step 3: Cross multiply
    278.16x = 415.95 × 208.95
  4. Step 4: Simplify right side
    278.16x = 86,912.75
  5. Step 5: Solve for x
    x = 86,912.75/278.16
  6. Step 6: Final answer
    x = 312.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.