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Finding the Fourth Proportional to 181.63, 272.04 and 178.66

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Solution

The fourth proportional to 181.63, 272.04 and 178.66 is: 267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.63 : 272.04 = 178.66 : x
  2. Step 2: Convert to fraction form
    181.63/272.04 = 178.66/x
  3. Step 3: Cross multiply
    181.63x = 272.04 × 178.66
  4. Step 4: Simplify right side
    181.63x = 48,602.67
  5. Step 5: Solve for x
    x = 48,602.67/181.63
  6. Step 6: Final answer
    x = 267.59

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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.