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Finding the Fourth Proportional to 292.56, 403.64 and 205.28

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Solution

The fourth proportional to 292.56, 403.64 and 205.28 is: 283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.56 : 403.64 = 205.28 : x
  2. Step 2: Convert to fraction form
    292.56/403.64 = 205.28/x
  3. Step 3: Cross multiply
    292.56x = 403.64 × 205.28
  4. Step 4: Simplify right side
    292.56x = 82,859.22
  5. Step 5: Solve for x
    x = 82,859.22/292.56
  6. Step 6: Final answer
    x = 283.22

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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.