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Finding the Fourth Proportional to 278.76, 384.57 and 195.84

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Solution

The fourth proportional to 278.76, 384.57 and 195.84 is: 270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.76 : 384.57 = 195.84 : x
  2. Step 2: Convert to fraction form
    278.76/384.57 = 195.84/x
  3. Step 3: Cross multiply
    278.76x = 384.57 × 195.84
  4. Step 4: Simplify right side
    278.76x = 75,314.19
  5. Step 5: Solve for x
    x = 75,314.19/278.76
  6. Step 6: Final answer
    x = 270.18

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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.