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Finding the Fourth Proportional to 310.23, 428.18 and 185.92

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Solution

The fourth proportional to 310.23, 428.18 and 185.92 is: 256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.23 : 428.18 = 185.92 : x
  2. Step 2: Convert to fraction form
    310.23/428.18 = 185.92/x
  3. Step 3: Cross multiply
    310.23x = 428.18 × 185.92
  4. Step 4: Simplify right side
    310.23x = 79,607.23
  5. Step 5: Solve for x
    x = 79,607.23/310.23
  6. Step 6: Final answer
    x = 256.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.