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Finding the Fourth Proportional to 278.36, 383.74 and 195.21

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Solution

The fourth proportional to 278.36, 383.74 and 195.21 is: 269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.36 : 383.74 = 195.21 : x
  2. Step 2: Convert to fraction form
    278.36/383.74 = 195.21/x
  3. Step 3: Cross multiply
    278.36x = 383.74 × 195.21
  4. Step 4: Simplify right side
    278.36x = 74,909.89
  5. Step 5: Solve for x
    x = 74,909.89/278.36
  6. Step 6: Final answer
    x = 269.11

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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.