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Finding the Fourth Proportional to 492.09, 737.96 and 179.64

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Solution

The fourth proportional to 492.09, 737.96 and 179.64 is: 269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.09 : 737.96 = 179.64 : x
  2. Step 2: Convert to fraction form
    492.09/737.96 = 179.64/x
  3. Step 3: Cross multiply
    492.09x = 737.96 × 179.64
  4. Step 4: Simplify right side
    492.09x = 132,566.24
  5. Step 5: Solve for x
    x = 132,566.24/492.09
  6. Step 6: Final answer
    x = 269.39

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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.