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Finding the Fourth Proportional to 305.04, 421.11 and 211.98

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Solution

The fourth proportional to 305.04, 421.11 and 211.98 is: 292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.04 : 421.11 = 211.98 : x
  2. Step 2: Convert to fraction form
    305.04/421.11 = 211.98/x
  3. Step 3: Cross multiply
    305.04x = 421.11 × 211.98
  4. Step 4: Simplify right side
    305.04x = 89,266.90
  5. Step 5: Solve for x
    x = 89,266.90/305.04
  6. Step 6: Final answer
    x = 292.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.