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Finding the Fourth Proportional to 292.68, 404.10 and 205.56

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Solution

The fourth proportional to 292.68, 404.10 and 205.56 is: 283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.68 : 404.10 = 205.56 : x
  2. Step 2: Convert to fraction form
    292.68/404.10 = 205.56/x
  3. Step 3: Cross multiply
    292.68x = 404.10 × 205.56
  4. Step 4: Simplify right side
    292.68x = 83,066.80
  5. Step 5: Solve for x
    x = 83,066.80/292.68
  6. Step 6: Final answer
    x = 283.81

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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.