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Finding the Fourth Proportional to 216.80, 299.76 and 189.47

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Solution

The fourth proportional to 216.80, 299.76 and 189.47 is: 261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.80 : 299.76 = 189.47 : x
  2. Step 2: Convert to fraction form
    216.80/299.76 = 189.47/x
  3. Step 3: Cross multiply
    216.80x = 299.76 × 189.47
  4. Step 4: Simplify right side
    216.80x = 56,795.53
  5. Step 5: Solve for x
    x = 56,795.53/216.80
  6. Step 6: Final answer
    x = 261.97

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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.