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Finding the Fourth Proportional to 205.14, 283.14 and 147.09

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Solution

The fourth proportional to 205.14, 283.14 and 147.09 is: 203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.14 : 283.14 = 147.09 : x
  2. Step 2: Convert to fraction form
    205.14/283.14 = 147.09/x
  3. Step 3: Cross multiply
    205.14x = 283.14 × 147.09
  4. Step 4: Simplify right side
    205.14x = 41,647.06
  5. Step 5: Solve for x
    x = 41,647.06/205.14
  6. Step 6: Final answer
    x = 203.02

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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.