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Finding the Fourth Proportional to 305.08, 420.85 and 206.83

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Solution

The fourth proportional to 305.08, 420.85 and 206.83 is: 285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.08 : 420.85 = 206.83 : x
  2. Step 2: Convert to fraction form
    305.08/420.85 = 206.83/x
  3. Step 3: Cross multiply
    305.08x = 420.85 × 206.83
  4. Step 4: Simplify right side
    305.08x = 87,044.41
  5. Step 5: Solve for x
    x = 87,044.41/305.08
  6. Step 6: Final answer
    x = 285.32

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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.