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Finding the Fourth Proportional to 162.99, 225 and 142.29

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Solution

The fourth proportional to 162.99, 225 and 142.29 is: 196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.99 : 225 = 142.29 : x
  2. Step 2: Convert to fraction form
    162.99/225 = 142.29/x
  3. Step 3: Cross multiply
    162.99x = 225 × 142.29
  4. Step 4: Simplify right side
    162.99x = 32,015.25
  5. Step 5: Solve for x
    x = 32,015.25/162.99
  6. Step 6: Final answer
    x = 196.42

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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.