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Finding the Fourth Proportional to 187.82, 259.21 and 114.12

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Solution

The fourth proportional to 187.82, 259.21 and 114.12 is: 157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.82 : 259.21 = 114.12 : x
  2. Step 2: Convert to fraction form
    187.82/259.21 = 114.12/x
  3. Step 3: Cross multiply
    187.82x = 259.21 × 114.12
  4. Step 4: Simplify right side
    187.82x = 29,581.05
  5. Step 5: Solve for x
    x = 29,581.05/187.82
  6. Step 6: Final answer
    x = 157.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.