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Finding the Fourth Proportional to 205.91, 283.48 and 180.02

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Solution

The fourth proportional to 205.91, 283.48 and 180.02 is: 247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.91 : 283.48 = 180.02 : x
  2. Step 2: Convert to fraction form
    205.91/283.48 = 180.02/x
  3. Step 3: Cross multiply
    205.91x = 283.48 × 180.02
  4. Step 4: Simplify right side
    205.91x = 51,030.20
  5. Step 5: Solve for x
    x = 51,030.20/205.91
  6. Step 6: Final answer
    x = 247.83

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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.