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Finding the Fourth Proportional to 281.26, 387.69 and 187.82

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Solution

The fourth proportional to 281.26, 387.69 and 187.82 is: 258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.26 : 387.69 = 187.82 : x
  2. Step 2: Convert to fraction form
    281.26/387.69 = 187.82/x
  3. Step 3: Cross multiply
    281.26x = 387.69 × 187.82
  4. Step 4: Simplify right side
    281.26x = 72,815.94
  5. Step 5: Solve for x
    x = 72,815.94/281.26
  6. Step 6: Final answer
    x = 258.89

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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.