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Finding the Fourth Proportional to 395.14, 592.74 and 121.23

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Solution

The fourth proportional to 395.14, 592.74 and 121.23 is: 181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.14 : 592.74 = 121.23 : x
  2. Step 2: Convert to fraction form
    395.14/592.74 = 121.23/x
  3. Step 3: Cross multiply
    395.14x = 592.74 × 121.23
  4. Step 4: Simplify right side
    395.14x = 71,857.26
  5. Step 5: Solve for x
    x = 71,857.26/395.14
  6. Step 6: Final answer
    x = 181.85

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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.