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Finding the Fourth Proportional to 187.78, 259.12 and 114.12

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Solution

The fourth proportional to 187.78, 259.12 and 114.12 is: 157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.78 : 259.12 = 114.12 : x
  2. Step 2: Convert to fraction form
    187.78/259.12 = 114.12/x
  3. Step 3: Cross multiply
    187.78x = 259.12 × 114.12
  4. Step 4: Simplify right side
    187.78x = 29,570.77
  5. Step 5: Solve for x
    x = 29,570.77/187.78
  6. Step 6: Final answer
    x = 157.48

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