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Finding the Fourth Proportional to 645.87, 968.90 and 183.67

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Solution

The fourth proportional to 645.87, 968.90 and 183.67 is: 275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.87 : 968.90 = 183.67 : x
  2. Step 2: Convert to fraction form
    645.87/968.90 = 183.67/x
  3. Step 3: Cross multiply
    645.87x = 968.90 × 183.67
  4. Step 4: Simplify right side
    645.87x = 177,954.52
  5. Step 5: Solve for x
    x = 177,954.52/645.87
  6. Step 6: Final answer
    x = 275.53

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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.