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Finding the Fourth Proportional to 277.40, 416.12 and 205.71

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Solution

The fourth proportional to 277.40, 416.12 and 205.71 is: 308.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.40 : 416.12 = 205.71 : x
  2. Step 2: Convert to fraction form
    277.40/416.12 = 205.71/x
  3. Step 3: Cross multiply
    277.40x = 416.12 × 205.71
  4. Step 4: Simplify right side
    277.40x = 85,599.02
  5. Step 5: Solve for x
    x = 85,599.02/277.40
  6. Step 6: Final answer
    x = 308.58

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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.