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Finding the Fourth Proportional to 150.12, 205.82 and 147.38

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Solution

The fourth proportional to 150.12, 205.82 and 147.38 is: 202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.12 : 205.82 = 147.38 : x
  2. Step 2: Convert to fraction form
    150.12/205.82 = 147.38/x
  3. Step 3: Cross multiply
    150.12x = 205.82 × 147.38
  4. Step 4: Simplify right side
    150.12x = 30,333.01
  5. Step 5: Solve for x
    x = 30,333.01/150.12
  6. Step 6: Final answer
    x = 202.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.