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Finding the Fourth Proportional to 312.27, 430.86 and 201.75

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Solution

The fourth proportional to 312.27, 430.86 and 201.75 is: 278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.27 : 430.86 = 201.75 : x
  2. Step 2: Convert to fraction form
    312.27/430.86 = 201.75/x
  3. Step 3: Cross multiply
    312.27x = 430.86 × 201.75
  4. Step 4: Simplify right side
    312.27x = 86,926.01
  5. Step 5: Solve for x
    x = 86,926.01/312.27
  6. Step 6: Final answer
    x = 278.37

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Why These Related Problems?

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