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Finding the Fourth Proportional to 184.26, 277.62 and 164.60

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Solution

The fourth proportional to 184.26, 277.62 and 164.60 is: 248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.26 : 277.62 = 164.60 : x
  2. Step 2: Convert to fraction form
    184.26/277.62 = 164.60/x
  3. Step 3: Cross multiply
    184.26x = 277.62 × 164.60
  4. Step 4: Simplify right side
    184.26x = 45,696.25
  5. Step 5: Solve for x
    x = 45,696.25/184.26
  6. Step 6: Final answer
    x = 248.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.