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Finding the Fourth Proportional to 187.12, 279.27 and 182.26

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Solution

The fourth proportional to 187.12, 279.27 and 182.26 is: 272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.12 : 279.27 = 182.26 : x
  2. Step 2: Convert to fraction form
    187.12/279.27 = 182.26/x
  3. Step 3: Cross multiply
    187.12x = 279.27 × 182.26
  4. Step 4: Simplify right side
    187.12x = 50,899.75
  5. Step 5: Solve for x
    x = 50,899.75/187.12
  6. Step 6: Final answer
    x = 272.02

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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.