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Finding the Fourth Proportional to 231.85, 320.70 and 206.02

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Solution

The fourth proportional to 231.85, 320.70 and 206.02 is: 284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.85 : 320.70 = 206.02 : x
  2. Step 2: Convert to fraction form
    231.85/320.70 = 206.02/x
  3. Step 3: Cross multiply
    231.85x = 320.70 × 206.02
  4. Step 4: Simplify right side
    231.85x = 66,070.61
  5. Step 5: Solve for x
    x = 66,070.61/231.85
  6. Step 6: Final answer
    x = 284.97

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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.