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Finding the Fourth Proportional to 364.67, 547.14 and 169.76

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Solution

The fourth proportional to 364.67, 547.14 and 169.76 is: 254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.67 : 547.14 = 169.76 : x
  2. Step 2: Convert to fraction form
    364.67/547.14 = 169.76/x
  3. Step 3: Cross multiply
    364.67x = 547.14 × 169.76
  4. Step 4: Simplify right side
    364.67x = 92,879.75
  5. Step 5: Solve for x
    x = 92,879.75/364.67
  6. Step 6: Final answer
    x = 254.70

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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.