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Finding the Fourth Proportional to 278.88, 384.84 and 191.56

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Solution

The fourth proportional to 278.88, 384.84 and 191.56 is: 264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.88 : 384.84 = 191.56 : x
  2. Step 2: Convert to fraction form
    278.88/384.84 = 191.56/x
  3. Step 3: Cross multiply
    278.88x = 384.84 × 191.56
  4. Step 4: Simplify right side
    278.88x = 73,719.95
  5. Step 5: Solve for x
    x = 73,719.95/278.88
  6. Step 6: Final answer
    x = 264.34

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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.