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Finding the Fourth Proportional to 305.77, 421.79 and 200.88

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Solution

The fourth proportional to 305.77, 421.79 and 200.88 is: 277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.77 : 421.79 = 200.88 : x
  2. Step 2: Convert to fraction form
    305.77/421.79 = 200.88/x
  3. Step 3: Cross multiply
    305.77x = 421.79 × 200.88
  4. Step 4: Simplify right side
    305.77x = 84,729.18
  5. Step 5: Solve for x
    x = 84,729.18/305.77
  6. Step 6: Final answer
    x = 277.10

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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.