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Finding the Fourth Proportional to 250.62, 346.19 and 209.31

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Solution

The fourth proportional to 250.62, 346.19 and 209.31 is: 289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.62 : 346.19 = 209.31 : x
  2. Step 2: Convert to fraction form
    250.62/346.19 = 209.31/x
  3. Step 3: Cross multiply
    250.62x = 346.19 × 209.31
  4. Step 4: Simplify right side
    250.62x = 72,459.98
  5. Step 5: Solve for x
    x = 72,459.98/250.62
  6. Step 6: Final answer
    x = 289.12

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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.