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Finding the Fourth Proportional to 277.89, 416.88 and 92.74

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Solution

The fourth proportional to 277.89, 416.88 and 92.74 is: 139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.89 : 416.88 = 92.74 : x
  2. Step 2: Convert to fraction form
    277.89/416.88 = 92.74/x
  3. Step 3: Cross multiply
    277.89x = 416.88 × 92.74
  4. Step 4: Simplify right side
    277.89x = 38,661.14
  5. Step 5: Solve for x
    x = 38,661.14/277.89
  6. Step 6: Final answer
    x = 139.12

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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.