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Finding the Fourth Proportional to 205.84, 283.93 and 150.49

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Solution

The fourth proportional to 205.84, 283.93 and 150.49 is: 207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.84 : 283.93 = 150.49 : x
  2. Step 2: Convert to fraction form
    205.84/283.93 = 150.49/x
  3. Step 3: Cross multiply
    205.84x = 283.93 × 150.49
  4. Step 4: Simplify right side
    205.84x = 42,728.63
  5. Step 5: Solve for x
    x = 42,728.63/205.84
  6. Step 6: Final answer
    x = 207.58

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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.