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Finding the Fourth Proportional to 180.54, 248.93 and 136.33

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Solution

The fourth proportional to 180.54, 248.93 and 136.33 is: 187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.54 : 248.93 = 136.33 : x
  2. Step 2: Convert to fraction form
    180.54/248.93 = 136.33/x
  3. Step 3: Cross multiply
    180.54x = 248.93 × 136.33
  4. Step 4: Simplify right side
    180.54x = 33,935.32
  5. Step 5: Solve for x
    x = 33,935.32/180.54
  6. Step 6: Final answer
    x = 187.97

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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.