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Finding the Fourth Proportional to 311.55, 430.08 and 201.03

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Solution

The fourth proportional to 311.55, 430.08 and 201.03 is: 277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.55 : 430.08 = 201.03 : x
  2. Step 2: Convert to fraction form
    311.55/430.08 = 201.03/x
  3. Step 3: Cross multiply
    311.55x = 430.08 × 201.03
  4. Step 4: Simplify right side
    311.55x = 86,458.98
  5. Step 5: Solve for x
    x = 86,458.98/311.55
  6. Step 6: Final answer
    x = 277.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.