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Finding the Fourth Proportional to 207.80, 311.80 and 146.80

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Solution

The fourth proportional to 207.80, 311.80 and 146.80 is: 220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.80 : 311.80 = 146.80 : x
  2. Step 2: Convert to fraction form
    207.80/311.80 = 146.80/x
  3. Step 3: Cross multiply
    207.80x = 311.80 × 146.80
  4. Step 4: Simplify right side
    207.80x = 45,772.24
  5. Step 5: Solve for x
    x = 45,772.24/207.80
  6. Step 6: Final answer
    x = 220.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.