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Finding the Fourth Proportional to 177.68, 266.22 and 132.12

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Solution

The fourth proportional to 177.68, 266.22 and 132.12 is: 197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.68 : 266.22 = 132.12 : x
  2. Step 2: Convert to fraction form
    177.68/266.22 = 132.12/x
  3. Step 3: Cross multiply
    177.68x = 266.22 × 132.12
  4. Step 4: Simplify right side
    177.68x = 35,172.99
  5. Step 5: Solve for x
    x = 35,172.99/177.68
  6. Step 6: Final answer
    x = 197.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.