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Finding the Fourth Proportional to 216.12, 298.17 and 188.44

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Solution

The fourth proportional to 216.12, 298.17 and 188.44 is: 259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.12 : 298.17 = 188.44 : x
  2. Step 2: Convert to fraction form
    216.12/298.17 = 188.44/x
  3. Step 3: Cross multiply
    216.12x = 298.17 × 188.44
  4. Step 4: Simplify right side
    216.12x = 56,187.15
  5. Step 5: Solve for x
    x = 56,187.15/216.12
  6. Step 6: Final answer
    x = 259.98

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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.