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Finding the Fourth Proportional to 310.34, 428.09 and 192.26

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Solution

The fourth proportional to 310.34, 428.09 and 192.26 is: 265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.34 : 428.09 = 192.26 : x
  2. Step 2: Convert to fraction form
    310.34/428.09 = 192.26/x
  3. Step 3: Cross multiply
    310.34x = 428.09 × 192.26
  4. Step 4: Simplify right side
    310.34x = 82,301.48
  5. Step 5: Solve for x
    x = 82,301.48/310.34
  6. Step 6: Final answer
    x = 265.20

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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.