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Finding the Fourth Proportional to 207.70, 310.63 and 125.99

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Solution

The fourth proportional to 207.70, 310.63 and 125.99 is: 188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.70 : 310.63 = 125.99 : x
  2. Step 2: Convert to fraction form
    207.70/310.63 = 125.99/x
  3. Step 3: Cross multiply
    207.70x = 310.63 × 125.99
  4. Step 4: Simplify right side
    207.70x = 39,135.64
  5. Step 5: Solve for x
    x = 39,135.64/207.70
  6. Step 6: Final answer
    x = 188.43

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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.