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Finding the Fourth Proportional to 492.74, 738.80 and 184.20

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Solution

The fourth proportional to 492.74, 738.80 and 184.20 is: 276.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.74 : 738.80 = 184.20 : x
  2. Step 2: Convert to fraction form
    492.74/738.80 = 184.20/x
  3. Step 3: Cross multiply
    492.74x = 738.80 × 184.20
  4. Step 4: Simplify right side
    492.74x = 136,086.96
  5. Step 5: Solve for x
    x = 136,086.96/492.74
  6. Step 6: Final answer
    x = 276.18

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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.