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Finding the Fourth Proportional to 207.20, 284.80 and 199.68

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Solution

The fourth proportional to 207.20, 284.80 and 199.68 is: 274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.20 : 284.80 = 199.68 : x
  2. Step 2: Convert to fraction form
    207.20/284.80 = 199.68/x
  3. Step 3: Cross multiply
    207.20x = 284.80 × 199.68
  4. Step 4: Simplify right side
    207.20x = 56,868.86
  5. Step 5: Solve for x
    x = 56,868.86/207.20
  6. Step 6: Final answer
    x = 274.46

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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.