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Finding the Fourth Proportional to 265.36, 397.81 and 128.21

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Solution

The fourth proportional to 265.36, 397.81 and 128.21 is: 192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.36 : 397.81 = 128.21 : x
  2. Step 2: Convert to fraction form
    265.36/397.81 = 128.21/x
  3. Step 3: Cross multiply
    265.36x = 397.81 × 128.21
  4. Step 4: Simplify right side
    265.36x = 51,003.89
  5. Step 5: Solve for x
    x = 51,003.89/265.36
  6. Step 6: Final answer
    x = 192.21

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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.