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Finding the Fourth Proportional to 205.71, 283.73 and 132.04

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Solution

The fourth proportional to 205.71, 283.73 and 132.04 is: 182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.71 : 283.73 = 132.04 : x
  2. Step 2: Convert to fraction form
    205.71/283.73 = 132.04/x
  3. Step 3: Cross multiply
    205.71x = 283.73 × 132.04
  4. Step 4: Simplify right side
    205.71x = 37,462.34
  5. Step 5: Solve for x
    x = 37,462.34/205.71
  6. Step 6: Final answer
    x = 182.11

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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.