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Finding the Fourth Proportional to 175.97, 263.45 and 120.99

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Solution

The fourth proportional to 175.97, 263.45 and 120.99 is: 181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.97 : 263.45 = 120.99 : x
  2. Step 2: Convert to fraction form
    175.97/263.45 = 120.99/x
  3. Step 3: Cross multiply
    175.97x = 263.45 × 120.99
  4. Step 4: Simplify right side
    175.97x = 31,876.11
  5. Step 5: Solve for x
    x = 31,876.11/175.97
  6. Step 6: Final answer
    x = 181.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.