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Finding the Fourth Proportional to 277.27, 416.09 and 114.95

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Solution

The fourth proportional to 277.27, 416.09 and 114.95 is: 172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.27 : 416.09 = 114.95 : x
  2. Step 2: Convert to fraction form
    277.27/416.09 = 114.95/x
  3. Step 3: Cross multiply
    277.27x = 416.09 × 114.95
  4. Step 4: Simplify right side
    277.27x = 47,827.93
  5. Step 5: Solve for x
    x = 47,827.93/277.27
  6. Step 6: Final answer
    x = 172.50

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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.