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Finding the Fourth Proportional to 277.92, 383.64 and 200.40

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Solution

The fourth proportional to 277.92, 383.64 and 200.40 is: 276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.92 : 383.64 = 200.40 : x
  2. Step 2: Convert to fraction form
    277.92/383.64 = 200.40/x
  3. Step 3: Cross multiply
    277.92x = 383.64 × 200.40
  4. Step 4: Simplify right side
    277.92x = 76,881.46
  5. Step 5: Solve for x
    x = 76,881.46/277.92
  6. Step 6: Final answer
    x = 276.63

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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.