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Finding the Fourth Proportional to 289.46, 398.76 and 201.98

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Solution

The fourth proportional to 289.46, 398.76 and 201.98 is: 278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.46 : 398.76 = 201.98 : x
  2. Step 2: Convert to fraction form
    289.46/398.76 = 201.98/x
  3. Step 3: Cross multiply
    289.46x = 398.76 × 201.98
  4. Step 4: Simplify right side
    289.46x = 80,541.54
  5. Step 5: Solve for x
    x = 80,541.54/289.46
  6. Step 6: Final answer
    x = 278.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.