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Finding the Fourth Proportional to 294.57, 406.28 and 206.03

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Solution

The fourth proportional to 294.57, 406.28 and 206.03 is: 284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.57 : 406.28 = 206.03 : x
  2. Step 2: Convert to fraction form
    294.57/406.28 = 206.03/x
  3. Step 3: Cross multiply
    294.57x = 406.28 × 206.03
  4. Step 4: Simplify right side
    294.57x = 83,703.84
  5. Step 5: Solve for x
    x = 83,703.84/294.57
  6. Step 6: Final answer
    x = 284.16

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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.