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Finding the Fourth Proportional to 231.84, 320.10 and 209.85

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Solution

The fourth proportional to 231.84, 320.10 and 209.85 is: 289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.84 : 320.10 = 209.85 : x
  2. Step 2: Convert to fraction form
    231.84/320.10 = 209.85/x
  3. Step 3: Cross multiply
    231.84x = 320.10 × 209.85
  4. Step 4: Simplify right side
    231.84x = 67,172.99
  5. Step 5: Solve for x
    x = 67,172.99/231.84
  6. Step 6: Final answer
    x = 289.74

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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.