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Finding the Fourth Proportional to 265.15, 397.60 and 178.41

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Solution

The fourth proportional to 265.15, 397.60 and 178.41 is: 267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.15 : 397.60 = 178.41 : x
  2. Step 2: Convert to fraction form
    265.15/397.60 = 178.41/x
  3. Step 3: Cross multiply
    265.15x = 397.60 × 178.41
  4. Step 4: Simplify right side
    265.15x = 70,935.82
  5. Step 5: Solve for x
    x = 70,935.82/265.15
  6. Step 6: Final answer
    x = 267.53

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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.