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Finding the Fourth Proportional to 265.37, 397.86 and 178.48

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Solution

The fourth proportional to 265.37, 397.86 and 178.48 is: 267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.37 : 397.86 = 178.48 : x
  2. Step 2: Convert to fraction form
    265.37/397.86 = 178.48/x
  3. Step 3: Cross multiply
    265.37x = 397.86 × 178.48
  4. Step 4: Simplify right side
    265.37x = 71,010.88
  5. Step 5: Solve for x
    x = 71,010.88/265.37
  6. Step 6: Final answer
    x = 267.60

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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.