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Finding the Fourth Proportional to 181.14, 271.65 and 78.40

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Solution

The fourth proportional to 181.14, 271.65 and 78.40 is: 117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.14 : 271.65 = 78.40 : x
  2. Step 2: Convert to fraction form
    181.14/271.65 = 78.40/x
  3. Step 3: Cross multiply
    181.14x = 271.65 × 78.40
  4. Step 4: Simplify right side
    181.14x = 21,296.97
  5. Step 5: Solve for x
    x = 21,296.97/181.14
  6. Step 6: Final answer
    x = 117.57

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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.