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Finding the Fourth Proportional to 177.54, 245.82 and 174.30

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Solution

The fourth proportional to 177.54, 245.82 and 174.30 is: 241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.54 : 245.82 = 174.30 : x
  2. Step 2: Convert to fraction form
    177.54/245.82 = 174.30/x
  3. Step 3: Cross multiply
    177.54x = 245.82 × 174.30
  4. Step 4: Simplify right side
    177.54x = 42,846.43
  5. Step 5: Solve for x
    x = 42,846.43/177.54
  6. Step 6: Final answer
    x = 241.33

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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.