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Finding the Fourth Proportional to 306, 421.92 and 207.36

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Solution

The fourth proportional to 306, 421.92 and 207.36 is: 285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306 : 421.92 = 207.36 : x
  2. Step 2: Convert to fraction form
    306/421.92 = 207.36/x
  3. Step 3: Cross multiply
    306x = 421.92 × 207.36
  4. Step 4: Simplify right side
    306x = 87,489.33
  5. Step 5: Solve for x
    x = 87,489.33/306
  6. Step 6: Final answer
    x = 285.91

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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.