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Finding the Fourth Proportional to 355.24, 490.25 and 207.88

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Solution

The fourth proportional to 355.24, 490.25 and 207.88 is: 286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.24 : 490.25 = 207.88 : x
  2. Step 2: Convert to fraction form
    355.24/490.25 = 207.88/x
  3. Step 3: Cross multiply
    355.24x = 490.25 × 207.88
  4. Step 4: Simplify right side
    355.24x = 101,915.22
  5. Step 5: Solve for x
    x = 101,915.22/355.24
  6. Step 6: Final answer
    x = 286.89

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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.