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Finding the Fourth Proportional to 307.89, 425.04 and 203.13

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Solution

The fourth proportional to 307.89, 425.04 and 203.13 is: 280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.89 : 425.04 = 203.13 : x
  2. Step 2: Convert to fraction form
    307.89/425.04 = 203.13/x
  3. Step 3: Cross multiply
    307.89x = 425.04 × 203.13
  4. Step 4: Simplify right side
    307.89x = 86,338.38
  5. Step 5: Solve for x
    x = 86,338.38/307.89
  6. Step 6: Final answer
    x = 280.42

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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.