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Finding the Fourth Proportional to 277.81, 416.51 and 140.95

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Solution

The fourth proportional to 277.81, 416.51 and 140.95 is: 211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.81 : 416.51 = 140.95 : x
  2. Step 2: Convert to fraction form
    277.81/416.51 = 140.95/x
  3. Step 3: Cross multiply
    277.81x = 416.51 × 140.95
  4. Step 4: Simplify right side
    277.81x = 58,706.40
  5. Step 5: Solve for x
    x = 58,706.40/277.81
  6. Step 6: Final answer
    x = 211.32

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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.