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Finding the Fourth Proportional to 305.14, 421.23 and 212.20

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Solution

The fourth proportional to 305.14, 421.23 and 212.20 is: 292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.14 : 421.23 = 212.20 : x
  2. Step 2: Convert to fraction form
    305.14/421.23 = 212.20/x
  3. Step 3: Cross multiply
    305.14x = 421.23 × 212.20
  4. Step 4: Simplify right side
    305.14x = 89,385.01
  5. Step 5: Solve for x
    x = 89,385.01/305.14
  6. Step 6: Final answer
    x = 292.93

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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.