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Finding the Fourth Proportional to 205.79, 283.86 and 132.20

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Solution

The fourth proportional to 205.79, 283.86 and 132.20 is: 182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.79 : 283.86 = 132.20 : x
  2. Step 2: Convert to fraction form
    205.79/283.86 = 132.20/x
  3. Step 3: Cross multiply
    205.79x = 283.86 × 132.20
  4. Step 4: Simplify right side
    205.79x = 37,526.29
  5. Step 5: Solve for x
    x = 37,526.29/205.79
  6. Step 6: Final answer
    x = 182.35

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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.