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Finding the Fourth Proportional to 236.02, 325.44 and 165.10

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Solution

The fourth proportional to 236.02, 325.44 and 165.10 is: 227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.02 : 325.44 = 165.10 : x
  2. Step 2: Convert to fraction form
    236.02/325.44 = 165.10/x
  3. Step 3: Cross multiply
    236.02x = 325.44 × 165.10
  4. Step 4: Simplify right side
    236.02x = 53,730.14
  5. Step 5: Solve for x
    x = 53,730.14/236.02
  6. Step 6: Final answer
    x = 227.65

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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.