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Finding the Fourth Proportional to 207.89, 310.34 and 180.56

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Solution

The fourth proportional to 207.89, 310.34 and 180.56 is: 269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.89 : 310.34 = 180.56 : x
  2. Step 2: Convert to fraction form
    207.89/310.34 = 180.56/x
  3. Step 3: Cross multiply
    207.89x = 310.34 × 180.56
  4. Step 4: Simplify right side
    207.89x = 56,033.89
  5. Step 5: Solve for x
    x = 56,033.89/207.89
  6. Step 6: Final answer
    x = 269.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.