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Finding the Fourth Proportional to 492.89, 739.33 and 184.88

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Solution

The fourth proportional to 492.89, 739.33 and 184.88 is: 277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.89 : 739.33 = 184.88 : x
  2. Step 2: Convert to fraction form
    492.89/739.33 = 184.88/x
  3. Step 3: Cross multiply
    492.89x = 739.33 × 184.88
  4. Step 4: Simplify right side
    492.89x = 136,688.72
  5. Step 5: Solve for x
    x = 136,688.72/492.89
  6. Step 6: Final answer
    x = 277.32

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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.