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Finding the Fourth Proportional to 187.91, 259.43 and 128.99

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Solution

The fourth proportional to 187.91, 259.43 and 128.99 is: 178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.91 : 259.43 = 128.99 : x
  2. Step 2: Convert to fraction form
    187.91/259.43 = 128.99/x
  3. Step 3: Cross multiply
    187.91x = 259.43 × 128.99
  4. Step 4: Simplify right side
    187.91x = 33,463.23
  5. Step 5: Solve for x
    x = 33,463.23/187.91
  6. Step 6: Final answer
    x = 178.09

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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.