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Finding the Fourth Proportional to 305.49, 421.40 and 222.50

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Solution

The fourth proportional to 305.49, 421.40 and 222.50 is: 306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.49 : 421.40 = 222.50 : x
  2. Step 2: Convert to fraction form
    305.49/421.40 = 222.50/x
  3. Step 3: Cross multiply
    305.49x = 421.40 × 222.50
  4. Step 4: Simplify right side
    305.49x = 93,761.50
  5. Step 5: Solve for x
    x = 93,761.50/305.49
  6. Step 6: Final answer
    x = 306.92

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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.