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Finding the Fourth Proportional to 205.70, 283.76 and 202.04

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Solution

The fourth proportional to 205.70, 283.76 and 202.04 is: 278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.70 : 283.76 = 202.04 : x
  2. Step 2: Convert to fraction form
    205.70/283.76 = 202.04/x
  3. Step 3: Cross multiply
    205.70x = 283.76 × 202.04
  4. Step 4: Simplify right side
    205.70x = 57,330.87
  5. Step 5: Solve for x
    x = 57,330.87/205.70
  6. Step 6: Final answer
    x = 278.71

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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.