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Finding the Fourth Proportional to 207.16, 284.18 and 201.76

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Solution

The fourth proportional to 207.16, 284.18 and 201.76 is: 276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.16 : 284.18 = 201.76 : x
  2. Step 2: Convert to fraction form
    207.16/284.18 = 201.76/x
  3. Step 3: Cross multiply
    207.16x = 284.18 × 201.76
  4. Step 4: Simplify right side
    207.16x = 57,334.44
  5. Step 5: Solve for x
    x = 57,334.44/207.16
  6. Step 6: Final answer
    x = 276.77

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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.