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Finding the Fourth Proportional to 265.46, 365.45 and 232.66

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Solution

The fourth proportional to 265.46, 365.45 and 232.66 is: 320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.46 : 365.45 = 232.66 : x
  2. Step 2: Convert to fraction form
    265.46/365.45 = 232.66/x
  3. Step 3: Cross multiply
    265.46x = 365.45 × 232.66
  4. Step 4: Simplify right side
    265.46x = 85,025.27
  5. Step 5: Solve for x
    x = 85,025.27/265.46
  6. Step 6: Final answer
    x = 320.29

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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.