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Finding the Fourth Proportional to 205.46, 283.41 and 147.14

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Solution

The fourth proportional to 205.46, 283.41 and 147.14 is: 202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.46 : 283.41 = 147.14 : x
  2. Step 2: Convert to fraction form
    205.46/283.41 = 147.14/x
  3. Step 3: Cross multiply
    205.46x = 283.41 × 147.14
  4. Step 4: Simplify right side
    205.46x = 41,700.95
  5. Step 5: Solve for x
    x = 41,700.95/205.46
  6. Step 6: Final answer
    x = 202.96

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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.