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Finding the Fourth Proportional to 178.83, 268.14 and 120.74

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Solution

The fourth proportional to 178.83, 268.14 and 120.74 is: 181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.83 : 268.14 = 120.74 : x
  2. Step 2: Convert to fraction form
    178.83/268.14 = 120.74/x
  3. Step 3: Cross multiply
    178.83x = 268.14 × 120.74
  4. Step 4: Simplify right side
    178.83x = 32,374.83
  5. Step 5: Solve for x
    x = 32,374.83/178.83
  6. Step 6: Final answer
    x = 181.03

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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.