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Finding the Fourth Proportional to 187.28, 258.20 and 161.00

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Solution

The fourth proportional to 187.28, 258.20 and 161.00 is: 221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.28 : 258.20 = 161.00 : x
  2. Step 2: Convert to fraction form
    187.28/258.20 = 161.00/x
  3. Step 3: Cross multiply
    187.28x = 258.20 × 161.00
  4. Step 4: Simplify right side
    187.28x = 41,569.31
  5. Step 5: Solve for x
    x = 41,569.31/187.28
  6. Step 6: Final answer
    x = 221.97

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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.