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Finding the Fourth Proportional to 181.56, 250.53 and 102.87

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Solution

The fourth proportional to 181.56, 250.53 and 102.87 is: 141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.56 : 250.53 = 102.87 : x
  2. Step 2: Convert to fraction form
    181.56/250.53 = 102.87/x
  3. Step 3: Cross multiply
    181.56x = 250.53 × 102.87
  4. Step 4: Simplify right side
    181.56x = 25,772.02
  5. Step 5: Solve for x
    x = 25,772.02/181.56
  6. Step 6: Final answer
    x = 141.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.