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Finding the Fourth Proportional to 352.01, 527.31 and 178.44

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Solution

The fourth proportional to 352.01, 527.31 and 178.44 is: 267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.01 : 527.31 = 178.44 : x
  2. Step 2: Convert to fraction form
    352.01/527.31 = 178.44/x
  3. Step 3: Cross multiply
    352.01x = 527.31 × 178.44
  4. Step 4: Simplify right side
    352.01x = 94,091.22
  5. Step 5: Solve for x
    x = 94,091.22/352.01
  6. Step 6: Final answer
    x = 267.30

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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.