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Finding the Fourth Proportional to 178.21, 266.21 and 163.09

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Solution

The fourth proportional to 178.21, 266.21 and 163.09 is: 243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.21 : 266.21 = 163.09 : x
  2. Step 2: Convert to fraction form
    178.21/266.21 = 163.09/x
  3. Step 3: Cross multiply
    178.21x = 266.21 × 163.09
  4. Step 4: Simplify right side
    178.21x = 43,416.19
  5. Step 5: Solve for x
    x = 43,416.19/178.21
  6. Step 6: Final answer
    x = 243.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.