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Finding the Fourth Proportional to 187.50, 258.63 and 161.10

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Solution

The fourth proportional to 187.50, 258.63 and 161.10 is: 222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.50 : 258.63 = 161.10 : x
  2. Step 2: Convert to fraction form
    187.50/258.63 = 161.10/x
  3. Step 3: Cross multiply
    187.50x = 258.63 × 161.10
  4. Step 4: Simplify right side
    187.50x = 41,665.29
  5. Step 5: Solve for x
    x = 41,665.29/187.50
  6. Step 6: Final answer
    x = 222.21

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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.