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Finding the Fourth Proportional to 492.28, 737.97 and 184.05

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Solution

The fourth proportional to 492.28, 737.97 and 184.05 is: 275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.28 : 737.97 = 184.05 : x
  2. Step 2: Convert to fraction form
    492.28/737.97 = 184.05/x
  3. Step 3: Cross multiply
    492.28x = 737.97 × 184.05
  4. Step 4: Simplify right side
    492.28x = 135,823.38
  5. Step 5: Solve for x
    x = 135,823.38/492.28
  6. Step 6: Final answer
    x = 275.91

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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.