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Finding the Fourth Proportional to 181.13, 249.98 and 115.70

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Solution

The fourth proportional to 181.13, 249.98 and 115.70 is: 159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.13 : 249.98 = 115.70 : x
  2. Step 2: Convert to fraction form
    181.13/249.98 = 115.70/x
  3. Step 3: Cross multiply
    181.13x = 249.98 × 115.70
  4. Step 4: Simplify right side
    181.13x = 28,920.86
  5. Step 5: Solve for x
    x = 28,920.86/181.13
  6. Step 6: Final answer
    x = 159.67

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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.