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Finding the Fourth Proportional to 205.72, 283.86 and 117.20

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Solution

The fourth proportional to 205.72, 283.86 and 117.20 is: 161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.72 : 283.86 = 117.20 : x
  2. Step 2: Convert to fraction form
    205.72/283.86 = 117.20/x
  3. Step 3: Cross multiply
    205.72x = 283.86 × 117.20
  4. Step 4: Simplify right side
    205.72x = 33,269.10
  5. Step 5: Solve for x
    x = 33,269.10/205.72
  6. Step 6: Final answer
    x = 161.72

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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.