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Finding the Fourth Proportional to 187.31, 279.26 and 182.58

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Solution

The fourth proportional to 187.31, 279.26 and 182.58 is: 272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.31 : 279.26 = 182.58 : x
  2. Step 2: Convert to fraction form
    187.31/279.26 = 182.58/x
  3. Step 3: Cross multiply
    187.31x = 279.26 × 182.58
  4. Step 4: Simplify right side
    187.31x = 50,987.29
  5. Step 5: Solve for x
    x = 50,987.29/187.31
  6. Step 6: Final answer
    x = 272.21

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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.