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Finding the Fourth Proportional to 150.48, 206.19 and 149.94

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Solution

The fourth proportional to 150.48, 206.19 and 149.94 is: 205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.48 : 206.19 = 149.94 : x
  2. Step 2: Convert to fraction form
    150.48/206.19 = 149.94/x
  3. Step 3: Cross multiply
    150.48x = 206.19 × 149.94
  4. Step 4: Simplify right side
    150.48x = 30,916.13
  5. Step 5: Solve for x
    x = 30,916.13/150.48
  6. Step 6: Final answer
    x = 205.45

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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.