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Finding the Fourth Proportional to 204.96, 283.29 and 150.09

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Solution

The fourth proportional to 204.96, 283.29 and 150.09 is: 207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.96 : 283.29 = 150.09 : x
  2. Step 2: Convert to fraction form
    204.96/283.29 = 150.09/x
  3. Step 3: Cross multiply
    204.96x = 283.29 × 150.09
  4. Step 4: Simplify right side
    204.96x = 42,519.00
  5. Step 5: Solve for x
    x = 42,519.00/204.96
  6. Step 6: Final answer
    x = 207.45

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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.