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Finding the Fourth Proportional to 305.40, 421.12 and 206.96

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Solution

The fourth proportional to 305.40, 421.12 and 206.96 is: 285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.40 : 421.12 = 206.96 : x
  2. Step 2: Convert to fraction form
    305.40/421.12 = 206.96/x
  3. Step 3: Cross multiply
    305.40x = 421.12 × 206.96
  4. Step 4: Simplify right side
    305.40x = 87,155.00
  5. Step 5: Solve for x
    x = 87,155.00/305.40
  6. Step 6: Final answer
    x = 285.38

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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.