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Finding the Fourth Proportional to 185.74, 254.98 and 164.46

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Solution

The fourth proportional to 185.74, 254.98 and 164.46 is: 225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.74 : 254.98 = 164.46 : x
  2. Step 2: Convert to fraction form
    185.74/254.98 = 164.46/x
  3. Step 3: Cross multiply
    185.74x = 254.98 × 164.46
  4. Step 4: Simplify right side
    185.74x = 41,934.01
  5. Step 5: Solve for x
    x = 41,934.01/185.74
  6. Step 6: Final answer
    x = 225.77

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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.