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Finding the Fourth Proportional to 250.92, 346.36 and 209.96

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Solution

The fourth proportional to 250.92, 346.36 and 209.96 is: 289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.92 : 346.36 = 209.96 : x
  2. Step 2: Convert to fraction form
    250.92/346.36 = 209.96/x
  3. Step 3: Cross multiply
    250.92x = 346.36 × 209.96
  4. Step 4: Simplify right side
    250.92x = 72,721.75
  5. Step 5: Solve for x
    x = 72,721.75/250.92
  6. Step 6: Final answer
    x = 289.82

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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.