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Finding the Fourth Proportional to 532.99, 799.48 and 167.78

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Solution

The fourth proportional to 532.99, 799.48 and 167.78 is: 251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.99 : 799.48 = 167.78 : x
  2. Step 2: Convert to fraction form
    532.99/799.48 = 167.78/x
  3. Step 3: Cross multiply
    532.99x = 799.48 × 167.78
  4. Step 4: Simplify right side
    532.99x = 134,136.75
  5. Step 5: Solve for x
    x = 134,136.75/532.99
  6. Step 6: Final answer
    x = 251.67

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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.