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Finding the Fourth Proportional to 187.57, 259.10 and 161.61

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Solution

The fourth proportional to 187.57, 259.10 and 161.61 is: 223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.57 : 259.10 = 161.61 : x
  2. Step 2: Convert to fraction form
    187.57/259.10 = 161.61/x
  3. Step 3: Cross multiply
    187.57x = 259.10 × 161.61
  4. Step 4: Simplify right side
    187.57x = 41,873.15
  5. Step 5: Solve for x
    x = 41,873.15/187.57
  6. Step 6: Final answer
    x = 223.24

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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.