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Finding the Fourth Proportional to 277.38, 416.03 and 94.79

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Solution

The fourth proportional to 277.38, 416.03 and 94.79 is: 142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.38 : 416.03 = 94.79 : x
  2. Step 2: Convert to fraction form
    277.38/416.03 = 94.79/x
  3. Step 3: Cross multiply
    277.38x = 416.03 × 94.79
  4. Step 4: Simplify right side
    277.38x = 39,432.93
  5. Step 5: Solve for x
    x = 39,432.93/277.38
  6. Step 6: Final answer
    x = 142.16

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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.