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Finding the Fourth Proportional to 278.48, 383.93 and 199.91

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Solution

The fourth proportional to 278.48, 383.93 and 199.91 is: 275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.48 : 383.93 = 199.91 : x
  2. Step 2: Convert to fraction form
    278.48/383.93 = 199.91/x
  3. Step 3: Cross multiply
    278.48x = 383.93 × 199.91
  4. Step 4: Simplify right side
    278.48x = 76,751.45
  5. Step 5: Solve for x
    x = 76,751.45/278.48
  6. Step 6: Final answer
    x = 275.61

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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.