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Finding the Fourth Proportional to 205.38, 308.06 and 53.38

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Solution

The fourth proportional to 205.38, 308.06 and 53.38 is: 80.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 308.06 = 53.38 : x
  2. Step 2: Convert to fraction form
    205.38/308.06 = 53.38/x
  3. Step 3: Cross multiply
    205.38x = 308.06 × 53.38
  4. Step 4: Simplify right side
    205.38x = 16,444.24
  5. Step 5: Solve for x
    x = 16,444.24/205.38
  6. Step 6: Final answer
    x = 80.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.