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Finding the Fourth Proportional to 205.56, 283.64 and 117.04

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Solution

The fourth proportional to 205.56, 283.64 and 117.04 is: 161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.56 : 283.64 = 117.04 : x
  2. Step 2: Convert to fraction form
    205.56/283.64 = 117.04/x
  3. Step 3: Cross multiply
    205.56x = 283.64 × 117.04
  4. Step 4: Simplify right side
    205.56x = 33,197.23
  5. Step 5: Solve for x
    x = 33,197.23/205.56
  6. Step 6: Final answer
    x = 161.50

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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.