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Finding the Fourth Proportional to 150.08, 206.99 and 126.83

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Solution

The fourth proportional to 150.08, 206.99 and 126.83 is: 174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.08 : 206.99 = 126.83 : x
  2. Step 2: Convert to fraction form
    150.08/206.99 = 126.83/x
  3. Step 3: Cross multiply
    150.08x = 206.99 × 126.83
  4. Step 4: Simplify right side
    150.08x = 26,250.87
  5. Step 5: Solve for x
    x = 26,250.87/150.08
  6. Step 6: Final answer
    x = 174.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.