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Finding the Fourth Proportional to 205.38, 283.38 and 118.06

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Solution

The fourth proportional to 205.38, 283.38 and 118.06 is: 162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 283.38 = 118.06 : x
  2. Step 2: Convert to fraction form
    205.38/283.38 = 118.06/x
  3. Step 3: Cross multiply
    205.38x = 283.38 × 118.06
  4. Step 4: Simplify right side
    205.38x = 33,455.84
  5. Step 5: Solve for x
    x = 33,455.84/205.38
  6. Step 6: Final answer
    x = 162.90

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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.