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Finding the Fourth Proportional to 305.74, 421.63 and 206.38

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Solution

The fourth proportional to 305.74, 421.63 and 206.38 is: 284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.74 : 421.63 = 206.38 : x
  2. Step 2: Convert to fraction form
    305.74/421.63 = 206.38/x
  3. Step 3: Cross multiply
    305.74x = 421.63 × 206.38
  4. Step 4: Simplify right side
    305.74x = 87,016.00
  5. Step 5: Solve for x
    x = 87,016.00/305.74
  6. Step 6: Final answer
    x = 284.61

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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.