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Finding the Fourth Proportional to 310.13, 428.03 and 192.12

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Solution

The fourth proportional to 310.13, 428.03 and 192.12 is: 265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.13 : 428.03 = 192.12 : x
  2. Step 2: Convert to fraction form
    310.13/428.03 = 192.12/x
  3. Step 3: Cross multiply
    310.13x = 428.03 × 192.12
  4. Step 4: Simplify right side
    310.13x = 82,233.60
  5. Step 5: Solve for x
    x = 82,233.60/310.13
  6. Step 6: Final answer
    x = 265.16

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Why These Related Problems?

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