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Finding the Fourth Proportional to 187.49, 279.82 and 182.63

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Solution

The fourth proportional to 187.49, 279.82 and 182.63 is: 272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.49 : 279.82 = 182.63 : x
  2. Step 2: Convert to fraction form
    187.49/279.82 = 182.63/x
  3. Step 3: Cross multiply
    187.49x = 279.82 × 182.63
  4. Step 4: Simplify right side
    187.49x = 51,101.21
  5. Step 5: Solve for x
    x = 51,101.21/187.49
  6. Step 6: Final answer
    x = 272.56

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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.