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Finding the Fourth Proportional to 313.03, 469.20 and 191.37

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Solution

The fourth proportional to 313.03, 469.20 and 191.37 is: 286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.03 : 469.20 = 191.37 : x
  2. Step 2: Convert to fraction form
    313.03/469.20 = 191.37/x
  3. Step 3: Cross multiply
    313.03x = 469.20 × 191.37
  4. Step 4: Simplify right side
    313.03x = 89,790.80
  5. Step 5: Solve for x
    x = 89,790.80/313.03
  6. Step 6: Final answer
    x = 286.85

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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.