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Finding the Fourth Proportional to 207.84, 311.82 and 63.57

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Solution

The fourth proportional to 207.84, 311.82 and 63.57 is: 95.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.84 : 311.82 = 63.57 : x
  2. Step 2: Convert to fraction form
    207.84/311.82 = 63.57/x
  3. Step 3: Cross multiply
    207.84x = 311.82 × 63.57
  4. Step 4: Simplify right side
    207.84x = 19,822.40
  5. Step 5: Solve for x
    x = 19,822.40/207.84
  6. Step 6: Final answer
    x = 95.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.