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Finding the Fourth Proportional to 277.63, 383.26 and 200.14

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Solution

The fourth proportional to 277.63, 383.26 and 200.14 is: 276.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.63 : 383.26 = 200.14 : x
  2. Step 2: Convert to fraction form
    277.63/383.26 = 200.14/x
  3. Step 3: Cross multiply
    277.63x = 383.26 × 200.14
  4. Step 4: Simplify right side
    277.63x = 76,705.66
  5. Step 5: Solve for x
    x = 76,705.66/277.63
  6. Step 6: Final answer
    x = 276.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.