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Finding the Fourth Proportional to 305.18, 421.18 and 206.90

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Solution

The fourth proportional to 305.18, 421.18 and 206.90 is: 285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.18 : 421.18 = 206.90 : x
  2. Step 2: Convert to fraction form
    305.18/421.18 = 206.90/x
  3. Step 3: Cross multiply
    305.18x = 421.18 × 206.90
  4. Step 4: Simplify right side
    305.18x = 87,142.14
  5. Step 5: Solve for x
    x = 87,142.14/305.18
  6. Step 6: Final answer
    x = 285.54

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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.