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Finding the Fourth Proportional to 277.84, 383.34 and 200.08

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Solution

The fourth proportional to 277.84, 383.34 and 200.08 is: 276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.84 : 383.34 = 200.08 : x
  2. Step 2: Convert to fraction form
    277.84/383.34 = 200.08/x
  3. Step 3: Cross multiply
    277.84x = 383.34 × 200.08
  4. Step 4: Simplify right side
    277.84x = 76,698.67
  5. Step 5: Solve for x
    x = 76,698.67/277.84
  6. Step 6: Final answer
    x = 276.05

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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.