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Finding the Fourth Proportional to 229.30, 316.37 and 200.09

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Solution

The fourth proportional to 229.30, 316.37 and 200.09 is: 276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.30 : 316.37 = 200.09 : x
  2. Step 2: Convert to fraction form
    229.30/316.37 = 200.09/x
  3. Step 3: Cross multiply
    229.30x = 316.37 × 200.09
  4. Step 4: Simplify right side
    229.30x = 63,302.26
  5. Step 5: Solve for x
    x = 63,302.26/229.30
  6. Step 6: Final answer
    x = 276.07

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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.