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Finding the Fourth Proportional to 294.06, 406 and 206.84

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Solution

The fourth proportional to 294.06, 406 and 206.84 is: 285.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.06 : 406 = 206.84 : x
  2. Step 2: Convert to fraction form
    294.06/406 = 206.84/x
  3. Step 3: Cross multiply
    294.06x = 406 × 206.84
  4. Step 4: Simplify right side
    294.06x = 83,977.04
  5. Step 5: Solve for x
    x = 83,977.04/294.06
  6. Step 6: Final answer
    x = 285.58

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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.