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Finding the Fourth Proportional to 187.07, 258.19 and 181.33

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Solution

The fourth proportional to 187.07, 258.19 and 181.33 is: 250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.07 : 258.19 = 181.33 : x
  2. Step 2: Convert to fraction form
    187.07/258.19 = 181.33/x
  3. Step 3: Cross multiply
    187.07x = 258.19 × 181.33
  4. Step 4: Simplify right side
    187.07x = 46,816.49
  5. Step 5: Solve for x
    x = 46,816.49/187.07
  6. Step 6: Final answer
    x = 250.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.