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Finding the Fourth Proportional to 278.37, 383.76 and 190.89

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Solution

The fourth proportional to 278.37, 383.76 and 190.89 is: 263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.37 : 383.76 = 190.89 : x
  2. Step 2: Convert to fraction form
    278.37/383.76 = 190.89/x
  3. Step 3: Cross multiply
    278.37x = 383.76 × 190.89
  4. Step 4: Simplify right side
    278.37x = 73,255.95
  5. Step 5: Solve for x
    x = 73,255.95/278.37
  6. Step 6: Final answer
    x = 263.16

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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.