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Finding the Fourth Proportional to 207.35, 310.82 and 116.22

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Solution

The fourth proportional to 207.35, 310.82 and 116.22 is: 174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.35 : 310.82 = 116.22 : x
  2. Step 2: Convert to fraction form
    207.35/310.82 = 116.22/x
  3. Step 3: Cross multiply
    207.35x = 310.82 × 116.22
  4. Step 4: Simplify right side
    207.35x = 36,123.50
  5. Step 5: Solve for x
    x = 36,123.50/207.35
  6. Step 6: Final answer
    x = 174.22

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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.