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Finding the Fourth Proportional to 264.50, 365.02 and 161

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Solution

The fourth proportional to 264.50, 365.02 and 161 is: 222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.50 : 365.02 = 161 : x
  2. Step 2: Convert to fraction form
    264.50/365.02 = 161/x
  3. Step 3: Cross multiply
    264.50x = 365.02 × 161
  4. Step 4: Simplify right side
    264.50x = 58,768.22
  5. Step 5: Solve for x
    x = 58,768.22/264.50
  6. Step 6: Final answer
    x = 222.19

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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.