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Finding the Fourth Proportional to 492.64, 738.94 and 168.01

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Solution

The fourth proportional to 492.64, 738.94 and 168.01 is: 252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.64 : 738.94 = 168.01 : x
  2. Step 2: Convert to fraction form
    492.64/738.94 = 168.01/x
  3. Step 3: Cross multiply
    492.64x = 738.94 × 168.01
  4. Step 4: Simplify right side
    492.64x = 124,149.31
  5. Step 5: Solve for x
    x = 124,149.31/492.64
  6. Step 6: Final answer
    x = 252.01

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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.