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Finding the Fourth Proportional to 301.88, 452.84 and 82.54

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Solution

The fourth proportional to 301.88, 452.84 and 82.54 is: 123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.88 : 452.84 = 82.54 : x
  2. Step 2: Convert to fraction form
    301.88/452.84 = 82.54/x
  3. Step 3: Cross multiply
    301.88x = 452.84 × 82.54
  4. Step 4: Simplify right side
    301.88x = 37,377.41
  5. Step 5: Solve for x
    x = 37,377.41/301.88
  6. Step 6: Final answer
    x = 123.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.