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Finding the Fourth Proportional to 305.53, 421.88 and 218.25

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Solution

The fourth proportional to 305.53, 421.88 and 218.25 is: 301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.53 : 421.88 = 218.25 : x
  2. Step 2: Convert to fraction form
    305.53/421.88 = 218.25/x
  3. Step 3: Cross multiply
    305.53x = 421.88 × 218.25
  4. Step 4: Simplify right side
    305.53x = 92,074.22
  5. Step 5: Solve for x
    x = 92,074.22/305.53
  6. Step 6: Final answer
    x = 301.36

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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.