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Finding the Fourth Proportional to 229.84, 316.52 and 209.34

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Solution

The fourth proportional to 229.84, 316.52 and 209.34 is: 288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.84 : 316.52 = 209.34 : x
  2. Step 2: Convert to fraction form
    229.84/316.52 = 209.34/x
  3. Step 3: Cross multiply
    229.84x = 316.52 × 209.34
  4. Step 4: Simplify right side
    229.84x = 66,260.30
  5. Step 5: Solve for x
    x = 66,260.30/229.84
  6. Step 6: Final answer
    x = 288.29

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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.