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Finding the Fourth Proportional to 286.88, 395.84 and 188.75

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Solution

The fourth proportional to 286.88, 395.84 and 188.75 is: 260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.88 : 395.84 = 188.75 : x
  2. Step 2: Convert to fraction form
    286.88/395.84 = 188.75/x
  3. Step 3: Cross multiply
    286.88x = 395.84 × 188.75
  4. Step 4: Simplify right side
    286.88x = 74,716.26
  5. Step 5: Solve for x
    x = 74,716.26/286.88
  6. Step 6: Final answer
    x = 260.45

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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.