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Finding the Fourth Proportional to 235.36, 324.24 and 165.16

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Solution

The fourth proportional to 235.36, 324.24 and 165.16 is: 227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.36 : 324.24 = 165.16 : x
  2. Step 2: Convert to fraction form
    235.36/324.24 = 165.16/x
  3. Step 3: Cross multiply
    235.36x = 324.24 × 165.16
  4. Step 4: Simplify right side
    235.36x = 53,551.48
  5. Step 5: Solve for x
    x = 53,551.48/235.36
  6. Step 6: Final answer
    x = 227.53

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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.