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Finding the Fourth Proportional to 177.78, 243.74 and 174.54

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Solution

The fourth proportional to 177.78, 243.74 and 174.54 is: 239.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.78 : 243.74 = 174.54 : x
  2. Step 2: Convert to fraction form
    177.78/243.74 = 174.54/x
  3. Step 3: Cross multiply
    177.78x = 243.74 × 174.54
  4. Step 4: Simplify right side
    177.78x = 42,541.51
  5. Step 5: Solve for x
    x = 42,541.51/177.78
  6. Step 6: Final answer
    x = 239.29

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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.