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Finding the Fourth Proportional to 150.96, 207.97 and 123.49

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Solution

The fourth proportional to 150.96, 207.97 and 123.49 is: 170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.96 : 207.97 = 123.49 : x
  2. Step 2: Convert to fraction form
    150.96/207.97 = 123.49/x
  3. Step 3: Cross multiply
    150.96x = 207.97 × 123.49
  4. Step 4: Simplify right side
    150.96x = 25,682.17
  5. Step 5: Solve for x
    x = 25,682.17/150.96
  6. Step 6: Final answer
    x = 170.12

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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.