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Finding the Fourth Proportional to 205.05, 307.80 and 113.70

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Solution

The fourth proportional to 205.05, 307.80 and 113.70 is: 170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.05 : 307.80 = 113.70 : x
  2. Step 2: Convert to fraction form
    205.05/307.80 = 113.70/x
  3. Step 3: Cross multiply
    205.05x = 307.80 × 113.70
  4. Step 4: Simplify right side
    205.05x = 34,996.86
  5. Step 5: Solve for x
    x = 34,996.86/205.05
  6. Step 6: Final answer
    x = 170.67

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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.