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Finding the Fourth Proportional to 150.29, 208.37 and 142.09

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Solution

The fourth proportional to 150.29, 208.37 and 142.09 is: 197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.29 : 208.37 = 142.09 : x
  2. Step 2: Convert to fraction form
    150.29/208.37 = 142.09/x
  3. Step 3: Cross multiply
    150.29x = 208.37 × 142.09
  4. Step 4: Simplify right side
    150.29x = 29,607.13
  5. Step 5: Solve for x
    x = 29,607.13/150.29
  6. Step 6: Final answer
    x = 197.00

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.