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Finding the Fourth Proportional to 181.21, 271.64 and 78.57

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Solution

The fourth proportional to 181.21, 271.64 and 78.57 is: 117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.21 : 271.64 = 78.57 : x
  2. Step 2: Convert to fraction form
    181.21/271.64 = 78.57/x
  3. Step 3: Cross multiply
    181.21x = 271.64 × 78.57
  4. Step 4: Simplify right side
    181.21x = 21,341.40
  5. Step 5: Solve for x
    x = 21,341.40/181.21
  6. Step 6: Final answer
    x = 117.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.