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Finding the Fourth Proportional to 305.05, 420.83 and 200.10

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Solution

The fourth proportional to 305.05, 420.83 and 200.10 is: 276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.05 : 420.83 = 200.10 : x
  2. Step 2: Convert to fraction form
    305.05/420.83 = 200.10/x
  3. Step 3: Cross multiply
    305.05x = 420.83 × 200.10
  4. Step 4: Simplify right side
    305.05x = 84,208.08
  5. Step 5: Solve for x
    x = 84,208.08/305.05
  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.