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Finding the Fourth Proportional to 303.70, 418.70 and 193.12

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Solution

The fourth proportional to 303.70, 418.70 and 193.12 is: 266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.70 : 418.70 = 193.12 : x
  2. Step 2: Convert to fraction form
    303.70/418.70 = 193.12/x
  3. Step 3: Cross multiply
    303.70x = 418.70 × 193.12
  4. Step 4: Simplify right side
    303.70x = 80,859.34
  5. Step 5: Solve for x
    x = 80,859.34/303.70
  6. Step 6: Final answer
    x = 266.25

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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.