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Finding the Fourth Proportional to 229.88, 342.86 and 209.23

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Solution

The fourth proportional to 229.88, 342.86 and 209.23 is: 312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.88 : 342.86 = 209.23 : x
  2. Step 2: Convert to fraction form
    229.88/342.86 = 209.23/x
  3. Step 3: Cross multiply
    229.88x = 342.86 × 209.23
  4. Step 4: Simplify right side
    229.88x = 71,734.69
  5. Step 5: Solve for x
    x = 71,734.69/229.88
  6. Step 6: Final answer
    x = 312.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.