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Finding the Fourth Proportional to 150.66, 208.17 and 139.86

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Solution

The fourth proportional to 150.66, 208.17 and 139.86 is: 193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.66 : 208.17 = 139.86 : x
  2. Step 2: Convert to fraction form
    150.66/208.17 = 139.86/x
  3. Step 3: Cross multiply
    150.66x = 208.17 × 139.86
  4. Step 4: Simplify right side
    150.66x = 29,114.66
  5. Step 5: Solve for x
    x = 29,114.66/150.66
  6. Step 6: Final answer
    x = 193.25

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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.