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Finding the Fourth Proportional to 452.17, 677.85 and 163.54

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Solution

The fourth proportional to 452.17, 677.85 and 163.54 is: 245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.17 : 677.85 = 163.54 : x
  2. Step 2: Convert to fraction form
    452.17/677.85 = 163.54/x
  3. Step 3: Cross multiply
    452.17x = 677.85 × 163.54
  4. Step 4: Simplify right side
    452.17x = 110,856.74
  5. Step 5: Solve for x
    x = 110,856.74/452.17
  6. Step 6: Final answer
    x = 245.17

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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.