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Finding the Fourth Proportional to 292.66, 403.92 and 205.28

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Solution

The fourth proportional to 292.66, 403.92 and 205.28 is: 283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.66 : 403.92 = 205.28 : x
  2. Step 2: Convert to fraction form
    292.66/403.92 = 205.28/x
  3. Step 3: Cross multiply
    292.66x = 403.92 × 205.28
  4. Step 4: Simplify right side
    292.66x = 82,916.70
  5. Step 5: Solve for x
    x = 82,916.70/292.66
  6. Step 6: Final answer
    x = 283.32

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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.