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Finding the Fourth Proportional to 187.14, 279.10 and 182

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Solution

The fourth proportional to 187.14, 279.10 and 182 is: 271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.14 : 279.10 = 182 : x
  2. Step 2: Convert to fraction form
    187.14/279.10 = 182/x
  3. Step 3: Cross multiply
    187.14x = 279.10 × 182
  4. Step 4: Simplify right side
    187.14x = 50,796.20
  5. Step 5: Solve for x
    x = 50,796.20/187.14
  6. Step 6: Final answer
    x = 271.43

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Why These Related Problems?

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