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Finding the Fourth Proportional to 187.72, 259.10 and 122.29

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Solution

The fourth proportional to 187.72, 259.10 and 122.29 is: 168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.72 : 259.10 = 122.29 : x
  2. Step 2: Convert to fraction form
    187.72/259.10 = 122.29/x
  3. Step 3: Cross multiply
    187.72x = 259.10 × 122.29
  4. Step 4: Simplify right side
    187.72x = 31,685.34
  5. Step 5: Solve for x
    x = 31,685.34/187.72
  6. Step 6: Final answer
    x = 168.79

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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.