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Finding the Fourth Proportional to 236.81, 355.64 and 164.81

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Solution

The fourth proportional to 236.81, 355.64 and 164.81 is: 247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.81 : 355.64 = 164.81 : x
  2. Step 2: Convert to fraction form
    236.81/355.64 = 164.81/x
  3. Step 3: Cross multiply
    236.81x = 355.64 × 164.81
  4. Step 4: Simplify right side
    236.81x = 58,613.03
  5. Step 5: Solve for x
    x = 58,613.03/236.81
  6. Step 6: Final answer
    x = 247.51

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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.