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Finding the Fourth Proportional to 205.76, 283.96 and 117.24

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Solution

The fourth proportional to 205.76, 283.96 and 117.24 is: 161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.76 : 283.96 = 117.24 : x
  2. Step 2: Convert to fraction form
    205.76/283.96 = 117.24/x
  3. Step 3: Cross multiply
    205.76x = 283.96 × 117.24
  4. Step 4: Simplify right side
    205.76x = 33,291.47
  5. Step 5: Solve for x
    x = 33,291.47/205.76
  6. Step 6: Final answer
    x = 161.80

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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.