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Finding the Fourth Proportional to 294.26, 405.85 and 205.71

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Solution

The fourth proportional to 294.26, 405.85 and 205.71 is: 283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.26 : 405.85 = 205.71 : x
  2. Step 2: Convert to fraction form
    294.26/405.85 = 205.71/x
  3. Step 3: Cross multiply
    294.26x = 405.85 × 205.71
  4. Step 4: Simplify right side
    294.26x = 83,486.89
  5. Step 5: Solve for x
    x = 83,486.89/294.26
  6. Step 6: Final answer
    x = 283.72

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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.