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Finding the Fourth Proportional to 178.99, 247.18 and 142.33

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Solution

The fourth proportional to 178.99, 247.18 and 142.33 is: 196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.99 : 247.18 = 142.33 : x
  2. Step 2: Convert to fraction form
    178.99/247.18 = 142.33/x
  3. Step 3: Cross multiply
    178.99x = 247.18 × 142.33
  4. Step 4: Simplify right side
    178.99x = 35,181.13
  5. Step 5: Solve for x
    x = 35,181.13/178.99
  6. Step 6: Final answer
    x = 196.55

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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.