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Finding the Fourth Proportional to 205.38, 282.63 and 150.03

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Solution

The fourth proportional to 205.38, 282.63 and 150.03 is: 206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 282.63 = 150.03 : x
  2. Step 2: Convert to fraction form
    205.38/282.63 = 150.03/x
  3. Step 3: Cross multiply
    205.38x = 282.63 × 150.03
  4. Step 4: Simplify right side
    205.38x = 42,402.98
  5. Step 5: Solve for x
    x = 42,402.98/205.38
  6. Step 6: Final answer
    x = 206.46

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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.