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Finding the Fourth Proportional to 265.54, 364.22 and 232.72

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Solution

The fourth proportional to 265.54, 364.22 and 232.72 is: 319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.54 : 364.22 = 232.72 : x
  2. Step 2: Convert to fraction form
    265.54/364.22 = 232.72/x
  3. Step 3: Cross multiply
    265.54x = 364.22 × 232.72
  4. Step 4: Simplify right side
    265.54x = 84,761.28
  5. Step 5: Solve for x
    x = 84,761.28/265.54
  6. Step 6: Final answer
    x = 319.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.