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Finding the Fourth Proportional to 265.20, 398 and 121.04

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Solution

The fourth proportional to 265.20, 398 and 121.04 is: 181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.20 : 398 = 121.04 : x
  2. Step 2: Convert to fraction form
    265.20/398 = 121.04/x
  3. Step 3: Cross multiply
    265.20x = 398 × 121.04
  4. Step 4: Simplify right side
    265.20x = 48,173.92
  5. Step 5: Solve for x
    x = 48,173.92/265.20
  6. Step 6: Final answer
    x = 181.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.