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Finding the Fourth Proportional to 187.06, 280.17 and 114.82

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Solution

The fourth proportional to 187.06, 280.17 and 114.82 is: 171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.06 : 280.17 = 114.82 : x
  2. Step 2: Convert to fraction form
    187.06/280.17 = 114.82/x
  3. Step 3: Cross multiply
    187.06x = 280.17 × 114.82
  4. Step 4: Simplify right side
    187.06x = 32,169.12
  5. Step 5: Solve for x
    x = 32,169.12/187.06
  6. Step 6: Final answer
    x = 171.97

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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.