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Finding the Fourth Proportional to 177.38, 265.58 and 119.42

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Solution

The fourth proportional to 177.38, 265.58 and 119.42 is: 178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.38 : 265.58 = 119.42 : x
  2. Step 2: Convert to fraction form
    177.38/265.58 = 119.42/x
  3. Step 3: Cross multiply
    177.38x = 265.58 × 119.42
  4. Step 4: Simplify right side
    177.38x = 31,715.56
  5. Step 5: Solve for x
    x = 31,715.56/177.38
  6. Step 6: Final answer
    x = 178.80

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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.