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Finding the Fourth Proportional to 205.78, 283.63 and 150.43

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Solution

The fourth proportional to 205.78, 283.63 and 150.43 is: 207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.78 : 283.63 = 150.43 : x
  2. Step 2: Convert to fraction form
    205.78/283.63 = 150.43/x
  3. Step 3: Cross multiply
    205.78x = 283.63 × 150.43
  4. Step 4: Simplify right side
    205.78x = 42,666.46
  5. Step 5: Solve for x
    x = 42,666.46/205.78
  6. Step 6: Final answer
    x = 207.34

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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.