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Finding the Fourth Proportional to 164.15, 226.54 and 136.47

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Solution

The fourth proportional to 164.15, 226.54 and 136.47 is: 188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.15 : 226.54 = 136.47 : x
  2. Step 2: Convert to fraction form
    164.15/226.54 = 136.47/x
  3. Step 3: Cross multiply
    164.15x = 226.54 × 136.47
  4. Step 4: Simplify right side
    164.15x = 30,915.23
  5. Step 5: Solve for x
    x = 30,915.23/164.15
  6. Step 6: Final answer
    x = 188.34

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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.