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Finding the Fourth Proportional to 187.78, 258.89 and 161.50

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Solution

The fourth proportional to 187.78, 258.89 and 161.50 is: 222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.78 : 258.89 = 161.50 : x
  2. Step 2: Convert to fraction form
    187.78/258.89 = 161.50/x
  3. Step 3: Cross multiply
    187.78x = 258.89 × 161.50
  4. Step 4: Simplify right side
    187.78x = 41,809.44
  5. Step 5: Solve for x
    x = 41,809.44/187.78
  6. Step 6: Final answer
    x = 222.66

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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.