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Finding the Fourth Proportional to 292.61, 403.90 and 205.34

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Solution

The fourth proportional to 292.61, 403.90 and 205.34 is: 283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.61 : 403.90 = 205.34 : x
  2. Step 2: Convert to fraction form
    292.61/403.90 = 205.34/x
  3. Step 3: Cross multiply
    292.61x = 403.90 × 205.34
  4. Step 4: Simplify right side
    292.61x = 82,934.29
  5. Step 5: Solve for x
    x = 82,934.29/292.61
  6. Step 6: Final answer
    x = 283.43

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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.