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Finding the Fourth Proportional to 205.47, 283.38 and 149.46

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Solution

The fourth proportional to 205.47, 283.38 and 149.46 is: 206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.47 : 283.38 = 149.46 : x
  2. Step 2: Convert to fraction form
    205.47/283.38 = 149.46/x
  3. Step 3: Cross multiply
    205.47x = 283.38 × 149.46
  4. Step 4: Simplify right side
    205.47x = 42,354.43
  5. Step 5: Solve for x
    x = 42,354.43/205.47
  6. Step 6: Final answer
    x = 206.13

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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.