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Finding the Fourth Proportional to 185.53, 254.66 and 164.34

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Solution

The fourth proportional to 185.53, 254.66 and 164.34 is: 225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.53 : 254.66 = 164.34 : x
  2. Step 2: Convert to fraction form
    185.53/254.66 = 164.34/x
  3. Step 3: Cross multiply
    185.53x = 254.66 × 164.34
  4. Step 4: Simplify right side
    185.53x = 41,850.00
  5. Step 5: Solve for x
    x = 41,850.00/185.53
  6. Step 6: Final answer
    x = 225.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.