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Finding the Fourth Proportional to 205.59, 283.66 and 118.24

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Solution

The fourth proportional to 205.59, 283.66 and 118.24 is: 163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.59 : 283.66 = 118.24 : x
  2. Step 2: Convert to fraction form
    205.59/283.66 = 118.24/x
  3. Step 3: Cross multiply
    205.59x = 283.66 × 118.24
  4. Step 4: Simplify right side
    205.59x = 33,539.96
  5. Step 5: Solve for x
    x = 33,539.96/205.59
  6. Step 6: Final answer
    x = 163.14

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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.