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Finding the Fourth Proportional to 181.19, 271.82 and 72.98

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Solution

The fourth proportional to 181.19, 271.82 and 72.98 is: 109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.19 : 271.82 = 72.98 : x
  2. Step 2: Convert to fraction form
    181.19/271.82 = 72.98/x
  3. Step 3: Cross multiply
    181.19x = 271.82 × 72.98
  4. Step 4: Simplify right side
    181.19x = 19,837.42
  5. Step 5: Solve for x
    x = 19,837.42/181.19
  6. Step 6: Final answer
    x = 109.48

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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.