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Finding the Fourth Proportional to 353.66, 488.00 and 206.25

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Solution

The fourth proportional to 353.66, 488.00 and 206.25 is: 284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.66 : 488.00 = 206.25 : x
  2. Step 2: Convert to fraction form
    353.66/488.00 = 206.25/x
  3. Step 3: Cross multiply
    353.66x = 488.00 × 206.25
  4. Step 4: Simplify right side
    353.66x = 100,648.97
  5. Step 5: Solve for x
    x = 100,648.97/353.66
  6. Step 6: Final answer
    x = 284.60

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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.