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Finding the Fourth Proportional to 207.33, 310.63 and 175.05

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Solution

The fourth proportional to 207.33, 310.63 and 175.05 is: 262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.33 : 310.63 = 175.05 : x
  2. Step 2: Convert to fraction form
    207.33/310.63 = 175.05/x
  3. Step 3: Cross multiply
    207.33x = 310.63 × 175.05
  4. Step 4: Simplify right side
    207.33x = 54,375.78
  5. Step 5: Solve for x
    x = 54,375.78/207.33
  6. Step 6: Final answer
    x = 262.27

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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.