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Finding the Fourth Proportional to 218.27, 299.61 and 193.16

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Solution

The fourth proportional to 218.27, 299.61 and 193.16 is: 265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.27 : 299.61 = 193.16 : x
  2. Step 2: Convert to fraction form
    218.27/299.61 = 193.16/x
  3. Step 3: Cross multiply
    218.27x = 299.61 × 193.16
  4. Step 4: Simplify right side
    218.27x = 57,872.67
  5. Step 5: Solve for x
    x = 57,872.67/218.27
  6. Step 6: Final answer
    x = 265.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.