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Finding the Fourth Proportional to 150.84, 207.99 and 126.54

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Solution

The fourth proportional to 150.84, 207.99 and 126.54 is: 174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.84 : 207.99 = 126.54 : x
  2. Step 2: Convert to fraction form
    150.84/207.99 = 126.54/x
  3. Step 3: Cross multiply
    150.84x = 207.99 × 126.54
  4. Step 4: Simplify right side
    150.84x = 26,319.05
  5. Step 5: Solve for x
    x = 26,319.05/150.84
  6. Step 6: Final answer
    x = 174.48

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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.