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Finding the Fourth Proportional to 205.38, 283.64 and 156.38

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Solution

The fourth proportional to 205.38, 283.64 and 156.38 is: 215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 283.64 = 156.38 : x
  2. Step 2: Convert to fraction form
    205.38/283.64 = 156.38/x
  3. Step 3: Cross multiply
    205.38x = 283.64 × 156.38
  4. Step 4: Simplify right side
    205.38x = 44,353.42
  5. Step 5: Solve for x
    x = 44,353.42/205.38
  6. Step 6: Final answer
    x = 215.96

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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.