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Finding the Fourth Proportional to 265.54, 366.27 and 167.36

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Solution

The fourth proportional to 265.54, 366.27 and 167.36 is: 230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.54 : 366.27 = 167.36 : x
  2. Step 2: Convert to fraction form
    265.54/366.27 = 167.36/x
  3. Step 3: Cross multiply
    265.54x = 366.27 × 167.36
  4. Step 4: Simplify right side
    265.54x = 61,298.95
  5. Step 5: Solve for x
    x = 61,298.95/265.54
  6. Step 6: Final answer
    x = 230.85

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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.