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Finding the Fourth Proportional to 265.93, 367.06 and 161.10

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Solution

The fourth proportional to 265.93, 367.06 and 161.10 is: 222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.93 : 367.06 = 161.10 : x
  2. Step 2: Convert to fraction form
    265.93/367.06 = 161.10/x
  3. Step 3: Cross multiply
    265.93x = 367.06 × 161.10
  4. Step 4: Simplify right side
    265.93x = 59,133.37
  5. Step 5: Solve for x
    x = 59,133.37/265.93
  6. Step 6: Final answer
    x = 222.36

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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.