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Finding the Fourth Proportional to 150.40, 208.02 and 133.15

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Solution

The fourth proportional to 150.40, 208.02 and 133.15 is: 184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.40 : 208.02 = 133.15 : x
  2. Step 2: Convert to fraction form
    150.40/208.02 = 133.15/x
  3. Step 3: Cross multiply
    150.40x = 208.02 × 133.15
  4. Step 4: Simplify right side
    150.40x = 27,697.86
  5. Step 5: Solve for x
    x = 27,697.86/150.40
  6. Step 6: Final answer
    x = 184.16

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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.