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Finding the Fourth Proportional to 181.60, 272.42 and 177.28

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Solution

The fourth proportional to 181.60, 272.42 and 177.28 is: 265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.60 : 272.42 = 177.28 : x
  2. Step 2: Convert to fraction form
    181.60/272.42 = 177.28/x
  3. Step 3: Cross multiply
    181.60x = 272.42 × 177.28
  4. Step 4: Simplify right side
    181.60x = 48,294.62
  5. Step 5: Solve for x
    x = 48,294.62/181.60
  6. Step 6: Final answer
    x = 265.94

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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.