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Finding the Fourth Proportional to 187.24, 279.05 and 186.34

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Solution

The fourth proportional to 187.24, 279.05 and 186.34 is: 277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.24 : 279.05 = 186.34 : x
  2. Step 2: Convert to fraction form
    187.24/279.05 = 186.34/x
  3. Step 3: Cross multiply
    187.24x = 279.05 × 186.34
  4. Step 4: Simplify right side
    187.24x = 51,998.18
  5. Step 5: Solve for x
    x = 51,998.18/187.24
  6. Step 6: Final answer
    x = 277.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.