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Finding the Fourth Proportional to 236.04, 325.45 and 164

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Solution

The fourth proportional to 236.04, 325.45 and 164 is: 226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.04 : 325.45 = 164 : x
  2. Step 2: Convert to fraction form
    236.04/325.45 = 164/x
  3. Step 3: Cross multiply
    236.04x = 325.45 × 164
  4. Step 4: Simplify right side
    236.04x = 53,373.80
  5. Step 5: Solve for x
    x = 53,373.80/236.04
  6. Step 6: Final answer
    x = 226.12

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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.