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Finding the Fourth Proportional to 277.94, 416.70 and 169.61

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Solution

The fourth proportional to 277.94, 416.70 and 169.61 is: 254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.94 : 416.70 = 169.61 : x
  2. Step 2: Convert to fraction form
    277.94/416.70 = 169.61/x
  3. Step 3: Cross multiply
    277.94x = 416.70 × 169.61
  4. Step 4: Simplify right side
    277.94x = 70,674.40
  5. Step 5: Solve for x
    x = 70,674.40/277.94
  6. Step 6: Final answer
    x = 254.28

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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.