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Finding the Fourth Proportional to 492.47, 737.79 and 184.13

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Solution

The fourth proportional to 492.47, 737.79 and 184.13 is: 275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.47 : 737.79 = 184.13 : x
  2. Step 2: Convert to fraction form
    492.47/737.79 = 184.13/x
  3. Step 3: Cross multiply
    492.47x = 737.79 × 184.13
  4. Step 4: Simplify right side
    492.47x = 135,849.27
  5. Step 5: Solve for x
    x = 135,849.27/492.47
  6. Step 6: Final answer
    x = 275.85

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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.