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Finding the Fourth Proportional to 181.26, 250.35 and 151.86

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Solution

The fourth proportional to 181.26, 250.35 and 151.86 is: 209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.26 : 250.35 = 151.86 : x
  2. Step 2: Convert to fraction form
    181.26/250.35 = 151.86/x
  3. Step 3: Cross multiply
    181.26x = 250.35 × 151.86
  4. Step 4: Simplify right side
    181.26x = 38,018.15
  5. Step 5: Solve for x
    x = 38,018.15/181.26
  6. Step 6: Final answer
    x = 209.74

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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.