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Finding the Fourth Proportional to 232.86, 320.94 and 206.04

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Solution

The fourth proportional to 232.86, 320.94 and 206.04 is: 283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.86 : 320.94 = 206.04 : x
  2. Step 2: Convert to fraction form
    232.86/320.94 = 206.04/x
  3. Step 3: Cross multiply
    232.86x = 320.94 × 206.04
  4. Step 4: Simplify right side
    232.86x = 66,126.48
  5. Step 5: Solve for x
    x = 66,126.48/232.86
  6. Step 6: Final answer
    x = 283.98

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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.