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Finding the Fourth Proportional to 277.22, 416.03 and 199.14

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Solution

The fourth proportional to 277.22, 416.03 and 199.14 is: 298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.22 : 416.03 = 199.14 : x
  2. Step 2: Convert to fraction form
    277.22/416.03 = 199.14/x
  3. Step 3: Cross multiply
    277.22x = 416.03 × 199.14
  4. Step 4: Simplify right side
    277.22x = 82,848.21
  5. Step 5: Solve for x
    x = 82,848.21/277.22
  6. Step 6: Final answer
    x = 298.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.