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Finding the Fourth Proportional to 177.41, 243.20 and 174.57

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Solution

The fourth proportional to 177.41, 243.20 and 174.57 is: 239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.41 : 243.20 = 174.57 : x
  2. Step 2: Convert to fraction form
    177.41/243.20 = 174.57/x
  3. Step 3: Cross multiply
    177.41x = 243.20 × 174.57
  4. Step 4: Simplify right side
    177.41x = 42,455.42
  5. Step 5: Solve for x
    x = 42,455.42/177.41
  6. Step 6: Final answer
    x = 239.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.