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Finding the Fourth Proportional to 181.55, 250.86 and 145.01

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Solution

The fourth proportional to 181.55, 250.86 and 145.01 is: 200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.55 : 250.86 = 145.01 : x
  2. Step 2: Convert to fraction form
    181.55/250.86 = 145.01/x
  3. Step 3: Cross multiply
    181.55x = 250.86 × 145.01
  4. Step 4: Simplify right side
    181.55x = 36,375.95
  5. Step 5: Solve for x
    x = 36,375.95/181.55
  6. Step 6: Final answer
    x = 200.37

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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.