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Finding the Fourth Proportional to 205.48, 283.56 and 118.14

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Solution

The fourth proportional to 205.48, 283.56 and 118.14 is: 163.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.48 : 283.56 = 118.14 : x
  2. Step 2: Convert to fraction form
    205.48/283.56 = 118.14/x
  3. Step 3: Cross multiply
    205.48x = 283.56 × 118.14
  4. Step 4: Simplify right side
    205.48x = 33,499.78
  5. Step 5: Solve for x
    x = 33,499.78/205.48
  6. Step 6: Final answer
    x = 163.03

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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.