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Finding the Fourth Proportional to 181.04, 269.56 and 178.44

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Solution

The fourth proportional to 181.04, 269.56 and 178.44 is: 265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.04 : 269.56 = 178.44 : x
  2. Step 2: Convert to fraction form
    181.04/269.56 = 178.44/x
  3. Step 3: Cross multiply
    181.04x = 269.56 × 178.44
  4. Step 4: Simplify right side
    181.04x = 48,099.50
  5. Step 5: Solve for x
    x = 48,099.50/181.04
  6. Step 6: Final answer
    x = 265.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.