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Finding the Fourth Proportional to 205.24, 283.24 and 116.72

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Solution

The fourth proportional to 205.24, 283.24 and 116.72 is: 161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.24 : 283.24 = 116.72 : x
  2. Step 2: Convert to fraction form
    205.24/283.24 = 116.72/x
  3. Step 3: Cross multiply
    205.24x = 283.24 × 116.72
  4. Step 4: Simplify right side
    205.24x = 33,059.77
  5. Step 5: Solve for x
    x = 33,059.77/205.24
  6. Step 6: Final answer
    x = 161.08

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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.