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Finding the Fourth Proportional to 205.89, 283.84 and 150.63

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Solution

The fourth proportional to 205.89, 283.84 and 150.63 is: 207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.89 : 283.84 = 150.63 : x
  2. Step 2: Convert to fraction form
    205.89/283.84 = 150.63/x
  3. Step 3: Cross multiply
    205.89x = 283.84 × 150.63
  4. Step 4: Simplify right side
    205.89x = 42,754.82
  5. Step 5: Solve for x
    x = 42,754.82/205.89
  6. Step 6: Final answer
    x = 207.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.