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Finding the Fourth Proportional to 492.25, 738.25 and 184.15

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Solution

The fourth proportional to 492.25, 738.25 and 184.15 is: 276.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.25 : 738.25 = 184.15 : x
  2. Step 2: Convert to fraction form
    492.25/738.25 = 184.15/x
  3. Step 3: Cross multiply
    492.25x = 738.25 × 184.15
  4. Step 4: Simplify right side
    492.25x = 135,948.74
  5. Step 5: Solve for x
    x = 135,948.74/492.25
  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.