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Finding the Fourth Proportional to 492.48, 738.04 and 184.02

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Solution

The fourth proportional to 492.48, 738.04 and 184.02 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.48 : 738.04 = 184.02 : x
  2. Step 2: Convert to fraction form
    492.48/738.04 = 184.02/x
  3. Step 3: Cross multiply
    492.48x = 738.04 × 184.02
  4. Step 4: Simplify right side
    492.48x = 135,814.12
  5. Step 5: Solve for x
    x = 135,814.12/492.48
  6. Step 6: Final answer
    x = 275.78

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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.