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Finding the Fourth Proportional to 265.34, 397.11 and 221.60

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Solution

The fourth proportional to 265.34, 397.11 and 221.60 is: 331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.34 : 397.11 = 221.60 : x
  2. Step 2: Convert to fraction form
    265.34/397.11 = 221.60/x
  3. Step 3: Cross multiply
    265.34x = 397.11 × 221.60
  4. Step 4: Simplify right side
    265.34x = 87,999.58
  5. Step 5: Solve for x
    x = 87,999.58/265.34
  6. Step 6: Final answer
    x = 331.65

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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.