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Finding the Fourth Proportional to 292.39, 403.71 and 205.51

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Solution

The fourth proportional to 292.39, 403.71 and 205.51 is: 283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.39 : 403.71 = 205.51 : x
  2. Step 2: Convert to fraction form
    292.39/403.71 = 205.51/x
  3. Step 3: Cross multiply
    292.39x = 403.71 × 205.51
  4. Step 4: Simplify right side
    292.39x = 82,966.44
  5. Step 5: Solve for x
    x = 82,966.44/292.39
  6. Step 6: Final answer
    x = 283.75

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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.