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Finding the Fourth Proportional to 207.63, 311.07 and 130.48

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Solution

The fourth proportional to 207.63, 311.07 and 130.48 is: 195.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.63 : 311.07 = 130.48 : x
  2. Step 2: Convert to fraction form
    207.63/311.07 = 130.48/x
  3. Step 3: Cross multiply
    207.63x = 311.07 × 130.48
  4. Step 4: Simplify right side
    207.63x = 40,588.13
  5. Step 5: Solve for x
    x = 40,588.13/207.63
  6. Step 6: Final answer
    x = 195.48

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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.