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Finding the Fourth Proportional to 150.64, 208.02 and 119.56

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Solution

The fourth proportional to 150.64, 208.02 and 119.56 is: 165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.64 : 208.02 = 119.56 : x
  2. Step 2: Convert to fraction form
    150.64/208.02 = 119.56/x
  3. Step 3: Cross multiply
    150.64x = 208.02 × 119.56
  4. Step 4: Simplify right side
    150.64x = 24,870.87
  5. Step 5: Solve for x
    x = 24,870.87/150.64
  6. Step 6: Final answer
    x = 165.10

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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.