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Finding the Fourth Proportional to 277.38, 416.03 and 92.28

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Solution

The fourth proportional to 277.38, 416.03 and 92.28 is: 138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.38 : 416.03 = 92.28 : x
  2. Step 2: Convert to fraction form
    277.38/416.03 = 92.28/x
  3. Step 3: Cross multiply
    277.38x = 416.03 × 92.28
  4. Step 4: Simplify right side
    277.38x = 38,390.79
  5. Step 5: Solve for x
    x = 38,390.79/277.38
  6. Step 6: Final answer
    x = 138.41

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