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Finding the Fourth Proportional to 205.71, 307.93 and 132.49

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Solution

The fourth proportional to 205.71, 307.93 and 132.49 is: 198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.71 : 307.93 = 132.49 : x
  2. Step 2: Convert to fraction form
    205.71/307.93 = 132.49/x
  3. Step 3: Cross multiply
    205.71x = 307.93 × 132.49
  4. Step 4: Simplify right side
    205.71x = 40,797.79
  5. Step 5: Solve for x
    x = 40,797.79/205.71
  6. Step 6: Final answer
    x = 198.32

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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.