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Finding the Fourth Proportional to 532.94, 799.48 and 167.73

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Solution

The fourth proportional to 532.94, 799.48 and 167.73 is: 251.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.94 : 799.48 = 167.73 : x
  2. Step 2: Convert to fraction form
    532.94/799.48 = 167.73/x
  3. Step 3: Cross multiply
    532.94x = 799.48 × 167.73
  4. Step 4: Simplify right side
    532.94x = 134,096.78
  5. Step 5: Solve for x
    x = 134,096.78/532.94
  6. Step 6: Final answer
    x = 251.62

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Why These Related Problems?

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