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Finding the Fourth Proportional to 265, 396.97 and 162.22

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Solution

The fourth proportional to 265, 396.97 and 162.22 is: 243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    265 : 396.97 = 162.22 : x
  2. Step 2: Convert to fraction form
    265/396.97 = 162.22/x
  3. Step 3: Cross multiply
    265x = 396.97 × 162.22
  4. Step 4: Simplify right side
    265x = 64,396.47
  5. Step 5: Solve for x
    x = 64,396.47/265
  6. Step 6: Final answer
    x = 243.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.