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Finding the Fourth Proportional to 265.28, 366.02 and 166.96

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Solution

The fourth proportional to 265.28, 366.02 and 166.96 is: 230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.28 : 366.02 = 166.96 : x
  2. Step 2: Convert to fraction form
    265.28/366.02 = 166.96/x
  3. Step 3: Cross multiply
    265.28x = 366.02 × 166.96
  4. Step 4: Simplify right side
    265.28x = 61,110.95
  5. Step 5: Solve for x
    x = 61,110.95/265.28
  6. Step 6: Final answer
    x = 230.37

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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.