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Finding the Fourth Proportional to 205.54, 283.58 and 117.02

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Solution

The fourth proportional to 205.54, 283.58 and 117.02 is: 161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.54 : 283.58 = 117.02 : x
  2. Step 2: Convert to fraction form
    205.54/283.58 = 117.02/x
  3. Step 3: Cross multiply
    205.54x = 283.58 × 117.02
  4. Step 4: Simplify right side
    205.54x = 33,183.11
  5. Step 5: Solve for x
    x = 33,183.11/205.54
  6. Step 6: Final answer
    x = 161.44

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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.