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Finding the Fourth Proportional to 181.42, 271.72 and 177.37

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Solution

The fourth proportional to 181.42, 271.72 and 177.37 is: 265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.42 : 271.72 = 177.37 : x
  2. Step 2: Convert to fraction form
    181.42/271.72 = 177.37/x
  3. Step 3: Cross multiply
    181.42x = 271.72 × 177.37
  4. Step 4: Simplify right side
    181.42x = 48,194.52
  5. Step 5: Solve for x
    x = 48,194.52/181.42
  6. Step 6: Final answer
    x = 265.66

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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.