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Finding the Fourth Proportional to 155.19, 232.57 and 120.80

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Solution

The fourth proportional to 155.19, 232.57 and 120.80 is: 181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.19 : 232.57 = 120.80 : x
  2. Step 2: Convert to fraction form
    155.19/232.57 = 120.80/x
  3. Step 3: Cross multiply
    155.19x = 232.57 × 120.80
  4. Step 4: Simplify right side
    155.19x = 28,092.99
  5. Step 5: Solve for x
    x = 28,092.99/155.19
  6. Step 6: Final answer
    x = 181.02

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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.