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Finding the Fourth Proportional to 265.82, 367.00 and 162.38

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Solution

The fourth proportional to 265.82, 367.00 and 162.38 is: 224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.82 : 367.00 = 162.38 : x
  2. Step 2: Convert to fraction form
    265.82/367.00 = 162.38/x
  3. Step 3: Cross multiply
    265.82x = 367.00 × 162.38
  4. Step 4: Simplify right side
    265.82x = 59,591.22
  5. Step 5: Solve for x
    x = 59,591.22/265.82
  6. Step 6: Final answer
    x = 224.18

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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.