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Finding the Fourth Proportional to 187.49, 280.75 and 182.02

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Solution

The fourth proportional to 187.49, 280.75 and 182.02 is: 272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.49 : 280.75 = 182.02 : x
  2. Step 2: Convert to fraction form
    187.49/280.75 = 182.02/x
  3. Step 3: Cross multiply
    187.49x = 280.75 × 182.02
  4. Step 4: Simplify right side
    187.49x = 51,102.12
  5. Step 5: Solve for x
    x = 51,102.12/187.49
  6. Step 6: Final answer
    x = 272.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.