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Finding the Fourth Proportional to 265.68, 365.44 and 232.96

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Solution

The fourth proportional to 265.68, 365.44 and 232.96 is: 320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.68 : 365.44 = 232.96 : x
  2. Step 2: Convert to fraction form
    265.68/365.44 = 232.96/x
  3. Step 3: Cross multiply
    265.68x = 365.44 × 232.96
  4. Step 4: Simplify right side
    265.68x = 85,132.90
  5. Step 5: Solve for x
    x = 85,132.90/265.68
  6. Step 6: Final answer
    x = 320.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.