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Finding the Fourth Proportional to 216.74, 299.18 and 160.93

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Solution

The fourth proportional to 216.74, 299.18 and 160.93 is: 222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.74 : 299.18 = 160.93 : x
  2. Step 2: Convert to fraction form
    216.74/299.18 = 160.93/x
  3. Step 3: Cross multiply
    216.74x = 299.18 × 160.93
  4. Step 4: Simplify right side
    216.74x = 48,147.04
  5. Step 5: Solve for x
    x = 48,147.04/216.74
  6. Step 6: Final answer
    x = 222.14

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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.