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Finding the Fourth Proportional to 293.52, 402.90 and 267.60

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Solution

The fourth proportional to 293.52, 402.90 and 267.60 is: 367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.52 : 402.90 = 267.60 : x
  2. Step 2: Convert to fraction form
    293.52/402.90 = 267.60/x
  3. Step 3: Cross multiply
    293.52x = 402.90 × 267.60
  4. Step 4: Simplify right side
    293.52x = 107,816.04
  5. Step 5: Solve for x
    x = 107,816.04/293.52
  6. Step 6: Final answer
    x = 367.32

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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.