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Finding the Fourth Proportional to 313.85, 432.83 and 214.22

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Solution

The fourth proportional to 313.85, 432.83 and 214.22 is: 295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.85 : 432.83 = 214.22 : x
  2. Step 2: Convert to fraction form
    313.85/432.83 = 214.22/x
  3. Step 3: Cross multiply
    313.85x = 432.83 × 214.22
  4. Step 4: Simplify right side
    313.85x = 92,720.98
  5. Step 5: Solve for x
    x = 92,720.98/313.85
  6. Step 6: Final answer
    x = 295.43

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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.