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Finding the Fourth Proportional to 207.70, 285.11 and 200.32

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Solution

The fourth proportional to 207.70, 285.11 and 200.32 is: 274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.70 : 285.11 = 200.32 : x
  2. Step 2: Convert to fraction form
    207.70/285.11 = 200.32/x
  3. Step 3: Cross multiply
    207.70x = 285.11 × 200.32
  4. Step 4: Simplify right side
    207.70x = 57,113.24
  5. Step 5: Solve for x
    x = 57,113.24/207.70
  6. Step 6: Final answer
    x = 274.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.