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Finding the Fourth Proportional to 150.06, 206.73 and 142.74

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Solution

The fourth proportional to 150.06, 206.73 and 142.74 is: 196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.06 : 206.73 = 142.74 : x
  2. Step 2: Convert to fraction form
    150.06/206.73 = 142.74/x
  3. Step 3: Cross multiply
    150.06x = 206.73 × 142.74
  4. Step 4: Simplify right side
    150.06x = 29,508.64
  5. Step 5: Solve for x
    x = 29,508.64/150.06
  6. Step 6: Final answer
    x = 196.65

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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.